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Finding the Fourth Proportional to 1,017.74, 1,404.51 and 575.66

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Solution

The fourth proportional to 1,017.74, 1,404.51 and 575.66 is: 794.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.74 : 1,404.51 = 575.66 : x
  2. Step 2: Convert to fraction form
    1,017.74/1,404.51 = 575.66/x
  3. Step 3: Cross multiply
    1,017.74x = 1,404.51 × 575.66
  4. Step 4: Simplify right side
    1,017.74x = 808,520.23
  5. Step 5: Solve for x
    x = 808,520.23/1,017.74
  6. Step 6: Final answer
    x = 794.43

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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.