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Finding the Fourth Proportional to 898.68, 1,347.30 and 465.96

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Solution

The fourth proportional to 898.68, 1,347.30 and 465.96 is: 698.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.68 : 1,347.30 = 465.96 : x
  2. Step 2: Convert to fraction form
    898.68/1,347.30 = 465.96/x
  3. Step 3: Cross multiply
    898.68x = 1,347.30 × 465.96
  4. Step 4: Simplify right side
    898.68x = 627,787.91
  5. Step 5: Solve for x
    x = 627,787.91/898.68
  6. Step 6: Final answer
    x = 698.57

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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.