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Finding the Fourth Proportional to 972.54, 1,457.87 and 424.31

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Solution

The fourth proportional to 972.54, 1,457.87 and 424.31 is: 636.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.54 : 1,457.87 = 424.31 : x
  2. Step 2: Convert to fraction form
    972.54/1,457.87 = 424.31/x
  3. Step 3: Cross multiply
    972.54x = 1,457.87 × 424.31
  4. Step 4: Simplify right side
    972.54x = 618,579.41
  5. Step 5: Solve for x
    x = 618,579.41/972.54
  6. Step 6: Final answer
    x = 636.05

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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.