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Finding the Fourth Proportional to 972.15, 1,458.93 and 424.74

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Solution

The fourth proportional to 972.15, 1,458.93 and 424.74 is: 637.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.15 : 1,458.93 = 424.74 : x
  2. Step 2: Convert to fraction form
    972.15/1,458.93 = 424.74/x
  3. Step 3: Cross multiply
    972.15x = 1,458.93 × 424.74
  4. Step 4: Simplify right side
    972.15x = 619,665.93
  5. Step 5: Solve for x
    x = 619,665.93/972.15
  6. Step 6: Final answer
    x = 637.42

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