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Finding the Fourth Proportional to 971.11, 1,459.05 and 624.58

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Solution

The fourth proportional to 971.11, 1,459.05 and 624.58 is: 938.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.11 : 1,459.05 = 624.58 : x
  2. Step 2: Convert to fraction form
    971.11/1,459.05 = 624.58/x
  3. Step 3: Cross multiply
    971.11x = 1,459.05 × 624.58
  4. Step 4: Simplify right side
    971.11x = 911,293.45
  5. Step 5: Solve for x
    x = 911,293.45/971.11
  6. Step 6: Final answer
    x = 938.40

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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.