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Finding the Fourth Proportional to 1,063.92, 1,468.14 and 598.08

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Solution

The fourth proportional to 1,063.92, 1,468.14 and 598.08 is: 825.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.92 : 1,468.14 = 598.08 : x
  2. Step 2: Convert to fraction form
    1,063.92/1,468.14 = 598.08/x
  3. Step 3: Cross multiply
    1,063.92x = 1,468.14 × 598.08
  4. Step 4: Simplify right side
    1,063.92x = 878,065.17
  5. Step 5: Solve for x
    x = 878,065.17/1,063.92
  6. Step 6: Final answer
    x = 825.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.