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Finding the Fourth Proportional to 698.04, 1,045.62 and 437.22

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Solution

The fourth proportional to 698.04, 1,045.62 and 437.22 is: 654.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.04 : 1,045.62 = 437.22 : x
  2. Step 2: Convert to fraction form
    698.04/1,045.62 = 437.22/x
  3. Step 3: Cross multiply
    698.04x = 1,045.62 × 437.22
  4. Step 4: Simplify right side
    698.04x = 457,165.98
  5. Step 5: Solve for x
    x = 457,165.98/698.04
  6. Step 6: Final answer
    x = 654.93

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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.