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Finding the Fourth Proportional to 898.59, 1,347.95 and 465.82

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Solution

The fourth proportional to 898.59, 1,347.95 and 465.82 is: 698.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.59 : 1,347.95 = 465.82 : x
  2. Step 2: Convert to fraction form
    898.59/1,347.95 = 465.82/x
  3. Step 3: Cross multiply
    898.59x = 1,347.95 × 465.82
  4. Step 4: Simplify right side
    898.59x = 627,902.07
  5. Step 5: Solve for x
    x = 627,902.07/898.59
  6. Step 6: Final answer
    x = 698.76

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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.