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Finding the Fourth Proportional to 1,017.57, 1,404.24 and 551.82

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Solution

The fourth proportional to 1,017.57, 1,404.24 and 551.82 is: 761.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.57 : 1,404.24 = 551.82 : x
  2. Step 2: Convert to fraction form
    1,017.57/1,404.24 = 551.82/x
  3. Step 3: Cross multiply
    1,017.57x = 1,404.24 × 551.82
  4. Step 4: Simplify right side
    1,017.57x = 774,887.72
  5. Step 5: Solve for x
    x = 774,887.72/1,017.57
  6. Step 6: Final answer
    x = 761.51

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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.