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Finding the Fourth Proportional to 827.40, 1,142.06 and 532.77

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Solution

The fourth proportional to 827.40, 1,142.06 and 532.77 is: 735.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.40 : 1,142.06 = 532.77 : x
  2. Step 2: Convert to fraction form
    827.40/1,142.06 = 532.77/x
  3. Step 3: Cross multiply
    827.40x = 1,142.06 × 532.77
  4. Step 4: Simplify right side
    827.40x = 608,452.64
  5. Step 5: Solve for x
    x = 608,452.64/827.40
  6. Step 6: Final answer
    x = 735.38

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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.