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Finding the Fourth Proportional to 1,017.83, 1,404.61 and 552.08

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Solution

The fourth proportional to 1,017.83, 1,404.61 and 552.08 is: 761.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.83 : 1,404.61 = 552.08 : x
  2. Step 2: Convert to fraction form
    1,017.83/1,404.61 = 552.08/x
  3. Step 3: Cross multiply
    1,017.83x = 1,404.61 × 552.08
  4. Step 4: Simplify right side
    1,017.83x = 775,454.33
  5. Step 5: Solve for x
    x = 775,454.33/1,017.83
  6. Step 6: Final answer
    x = 761.87

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