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Finding the Fourth Proportional to 971.85, 1,458.15 and 712.11

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Solution

The fourth proportional to 971.85, 1,458.15 and 712.11 is: 1,068.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.85 : 1,458.15 = 712.11 : x
  2. Step 2: Convert to fraction form
    971.85/1,458.15 = 712.11/x
  3. Step 3: Cross multiply
    971.85x = 1,458.15 × 712.11
  4. Step 4: Simplify right side
    971.85x = 1,038,363.20
  5. Step 5: Solve for x
    x = 1,038,363.20/971.85
  6. Step 6: Final answer
    x = 1,068.44

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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.