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Finding the Fourth Proportional to 698.29, 1,046.62 and 373.89

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Solution

The fourth proportional to 698.29, 1,046.62 and 373.89 is: 560.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.29 : 1,046.62 = 373.89 : x
  2. Step 2: Convert to fraction form
    698.29/1,046.62 = 373.89/x
  3. Step 3: Cross multiply
    698.29x = 1,046.62 × 373.89
  4. Step 4: Simplify right side
    698.29x = 391,320.75
  5. Step 5: Solve for x
    x = 391,320.75/698.29
  6. Step 6: Final answer
    x = 560.40

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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.