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Finding the Fourth Proportional to 1,017.61, 1,527.19 and 497.90

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Solution

The fourth proportional to 1,017.61, 1,527.19 and 497.90 is: 747.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.61 : 1,527.19 = 497.90 : x
  2. Step 2: Convert to fraction form
    1,017.61/1,527.19 = 497.90/x
  3. Step 3: Cross multiply
    1,017.61x = 1,527.19 × 497.90
  4. Step 4: Simplify right side
    1,017.61x = 760,390.47
  5. Step 5: Solve for x
    x = 760,390.47/1,017.61
  6. Step 6: Final answer
    x = 747.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.