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Finding the Fourth Proportional to 855.66, 1,180.92 and 524.10

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Solution

The fourth proportional to 855.66, 1,180.92 and 524.10 is: 723.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.66 : 1,180.92 = 524.10 : x
  2. Step 2: Convert to fraction form
    855.66/1,180.92 = 524.10/x
  3. Step 3: Cross multiply
    855.66x = 1,180.92 × 524.10
  4. Step 4: Simplify right side
    855.66x = 618,920.17
  5. Step 5: Solve for x
    x = 618,920.17/855.66
  6. Step 6: Final answer
    x = 723.32

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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.