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Finding the Fourth Proportional to 971.52, 1,457.10 and 624.30

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Solution

The fourth proportional to 971.52, 1,457.10 and 624.30 is: 936.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.52 : 1,457.10 = 624.30 : x
  2. Step 2: Convert to fraction form
    971.52/1,457.10 = 624.30/x
  3. Step 3: Cross multiply
    971.52x = 1,457.10 × 624.30
  4. Step 4: Simplify right side
    971.52x = 909,667.53
  5. Step 5: Solve for x
    x = 909,667.53/971.52
  6. Step 6: Final answer
    x = 936.33

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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.