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Finding the Fourth Proportional to 698.18, 1,045.64 and 649.58

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Solution

The fourth proportional to 698.18, 1,045.64 and 649.58 is: 972.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    698.18 : 1,045.64 = 649.58 : x
  2. Step 2: Convert to fraction form
    698.18/1,045.64 = 649.58/x
  3. Step 3: Cross multiply
    698.18x = 1,045.64 × 649.58
  4. Step 4: Simplify right side
    698.18x = 679,226.83
  5. Step 5: Solve for x
    x = 679,226.83/698.18
  6. Step 6: Final answer
    x = 972.85

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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.