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Finding the Fourth Proportional to 714.60, 986.14 and 404.10

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Solution

The fourth proportional to 714.60, 986.14 and 404.10 is: 557.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    714.60 : 986.14 = 404.10 : x
  2. Step 2: Convert to fraction form
    714.60/986.14 = 404.10/x
  3. Step 3: Cross multiply
    714.60x = 986.14 × 404.10
  4. Step 4: Simplify right side
    714.60x = 398,499.17
  5. Step 5: Solve for x
    x = 398,499.17/714.60
  6. Step 6: Final answer
    x = 557.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.