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Finding the Fourth Proportional to 1,000.17, 1,498.91 and 537.26

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Solution

The fourth proportional to 1,000.17, 1,498.91 and 537.26 is: 805.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.17 : 1,498.91 = 537.26 : x
  2. Step 2: Convert to fraction form
    1,000.17/1,498.91 = 537.26/x
  3. Step 3: Cross multiply
    1,000.17x = 1,498.91 × 537.26
  4. Step 4: Simplify right side
    1,000.17x = 805,294.21
  5. Step 5: Solve for x
    x = 805,294.21/1,000.17
  6. Step 6: Final answer
    x = 805.16

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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.