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Finding the Fourth Proportional to 1,284.38, 1,772.32 and 724.76

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Solution

The fourth proportional to 1,284.38, 1,772.32 and 724.76 is: 1,000.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.38 : 1,772.32 = 724.76 : x
  2. Step 2: Convert to fraction form
    1,284.38/1,772.32 = 724.76/x
  3. Step 3: Cross multiply
    1,284.38x = 1,772.32 × 724.76
  4. Step 4: Simplify right side
    1,284.38x = 1,284,506.64
  5. Step 5: Solve for x
    x = 1,284,506.64/1,284.38
  6. Step 6: Final answer
    x = 1,000.10

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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.