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Finding the Fourth Proportional to 898.69, 1,354.18 and 739.93

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Solution

The fourth proportional to 898.69, 1,354.18 and 739.93 is: 1,114.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.69 : 1,354.18 = 739.93 : x
  2. Step 2: Convert to fraction form
    898.69/1,354.18 = 739.93/x
  3. Step 3: Cross multiply
    898.69x = 1,354.18 × 739.93
  4. Step 4: Simplify right side
    898.69x = 1,001,998.41
  5. Step 5: Solve for x
    x = 1,001,998.41/898.69
  6. Step 6: Final answer
    x = 1,114.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.