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Finding the Fourth Proportional to 1,017.95, 1,404.45 and 598.29

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Solution

The fourth proportional to 1,017.95, 1,404.45 and 598.29 is: 825.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.95 : 1,404.45 = 598.29 : x
  2. Step 2: Convert to fraction form
    1,017.95/1,404.45 = 598.29/x
  3. Step 3: Cross multiply
    1,017.95x = 1,404.45 × 598.29
  4. Step 4: Simplify right side
    1,017.95x = 840,268.39
  5. Step 5: Solve for x
    x = 840,268.39/1,017.95
  6. Step 6: Final answer
    x = 825.46

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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.