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Finding the Fourth Proportional to 972.34, 1,457.69 and 424.11

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Solution

The fourth proportional to 972.34, 1,457.69 and 424.11 is: 635.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.34 : 1,457.69 = 424.11 : x
  2. Step 2: Convert to fraction form
    972.34/1,457.69 = 424.11/x
  3. Step 3: Cross multiply
    972.34x = 1,457.69 × 424.11
  4. Step 4: Simplify right side
    972.34x = 618,224.25
  5. Step 5: Solve for x
    x = 618,224.25/972.34
  6. Step 6: Final answer
    x = 635.81

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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.