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Finding the Fourth Proportional to 1,285.75, 1,774.88 and 820.27

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Solution

The fourth proportional to 1,285.75, 1,774.88 and 820.27 is: 1,132.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.75 : 1,774.88 = 820.27 : x
  2. Step 2: Convert to fraction form
    1,285.75/1,774.88 = 820.27/x
  3. Step 3: Cross multiply
    1,285.75x = 1,774.88 × 820.27
  4. Step 4: Simplify right side
    1,285.75x = 1,455,880.82
  5. Step 5: Solve for x
    x = 1,455,880.82/1,285.75
  6. Step 6: Final answer
    x = 1,132.32

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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.