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Finding the Fourth Proportional to 924.48, 1,387.02 and 578.05

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Solution

The fourth proportional to 924.48, 1,387.02 and 578.05 is: 867.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.48 : 1,387.02 = 578.05 : x
  2. Step 2: Convert to fraction form
    924.48/1,387.02 = 578.05/x
  3. Step 3: Cross multiply
    924.48x = 1,387.02 × 578.05
  4. Step 4: Simplify right side
    924.48x = 801,773.41
  5. Step 5: Solve for x
    x = 801,773.41/924.48
  6. Step 6: Final answer
    x = 867.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.