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Finding the Fourth Proportional to 698, 1,045.84 and 492.14

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Solution

The fourth proportional to 698, 1,045.84 and 492.14 is: 737.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    698 : 1,045.84 = 492.14 : x
  2. Step 2: Convert to fraction form
    698/1,045.84 = 492.14/x
  3. Step 3: Cross multiply
    698x = 1,045.84 × 492.14
  4. Step 4: Simplify right side
    698x = 514,699.70
  5. Step 5: Solve for x
    x = 514,699.70/698
  6. Step 6: Final answer
    x = 737.39

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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.