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Finding the Fourth Proportional to 898.24, 1,347.74 and 465.70

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Solution

The fourth proportional to 898.24, 1,347.74 and 465.70 is: 698.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    898.24 : 1,347.74 = 465.70 : x
  2. Step 2: Convert to fraction form
    898.24/1,347.74 = 465.70/x
  3. Step 3: Cross multiply
    898.24x = 1,347.74 × 465.70
  4. Step 4: Simplify right side
    898.24x = 627,642.52
  5. Step 5: Solve for x
    x = 627,642.52/898.24
  6. Step 6: Final answer
    x = 698.75

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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.