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Finding the Fourth Proportional to 972.80, 1,459.19 and 424.91

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Solution

The fourth proportional to 972.80, 1,459.19 and 424.91 is: 637.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.80 : 1,459.19 = 424.91 : x
  2. Step 2: Convert to fraction form
    972.80/1,459.19 = 424.91/x
  3. Step 3: Cross multiply
    972.80x = 1,459.19 × 424.91
  4. Step 4: Simplify right side
    972.80x = 620,015.00
  5. Step 5: Solve for x
    x = 620,015.00/972.80
  6. Step 6: Final answer
    x = 637.35

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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.