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Finding the Fourth Proportional to 972.85, 1,458.36 and 424.58

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Solution

The fourth proportional to 972.85, 1,458.36 and 424.58 is: 636.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.85 : 1,458.36 = 424.58 : x
  2. Step 2: Convert to fraction form
    972.85/1,458.36 = 424.58/x
  3. Step 3: Cross multiply
    972.85x = 1,458.36 × 424.58
  4. Step 4: Simplify right side
    972.85x = 619,190.49
  5. Step 5: Solve for x
    x = 619,190.49/972.85
  6. Step 6: Final answer
    x = 636.47

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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.