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Finding the Fourth Proportional to 1,017.85, 1,404.61 and 598.13

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Solution

The fourth proportional to 1,017.85, 1,404.61 and 598.13 is: 825.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.85 : 1,404.61 = 598.13 : x
  2. Step 2: Convert to fraction form
    1,017.85/1,404.61 = 598.13/x
  3. Step 3: Cross multiply
    1,017.85x = 1,404.61 × 598.13
  4. Step 4: Simplify right side
    1,017.85x = 840,132.36
  5. Step 5: Solve for x
    x = 840,132.36/1,017.85
  6. Step 6: Final answer
    x = 825.40

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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.