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Finding the Fourth Proportional to 972.90, 1,458.12 and 424.80

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Solution

The fourth proportional to 972.90, 1,458.12 and 424.80 is: 636.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.90 : 1,458.12 = 424.80 : x
  2. Step 2: Convert to fraction form
    972.90/1,458.12 = 424.80/x
  3. Step 3: Cross multiply
    972.90x = 1,458.12 × 424.80
  4. Step 4: Simplify right side
    972.90x = 619,409.38
  5. Step 5: Solve for x
    x = 619,409.38/972.90
  6. Step 6: Final answer
    x = 636.66

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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.