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Finding the Fourth Proportional to 827.77, 1,142.37 and 454.75

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Solution

The fourth proportional to 827.77, 1,142.37 and 454.75 is: 627.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.77 : 1,142.37 = 454.75 : x
  2. Step 2: Convert to fraction form
    827.77/1,142.37 = 454.75/x
  3. Step 3: Cross multiply
    827.77x = 1,142.37 × 454.75
  4. Step 4: Simplify right side
    827.77x = 519,492.76
  5. Step 5: Solve for x
    x = 519,492.76/827.77
  6. Step 6: Final answer
    x = 627.58

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.