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Finding the Fourth Proportional to 1,732.50, 2,599.17 and 500.00

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Solution

The fourth proportional to 1,732.50, 2,599.17 and 500.00 is: 750.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.50 : 2,599.17 = 500.00 : x
  2. Step 2: Convert to fraction form
    1,732.50/2,599.17 = 500.00/x
  3. Step 3: Cross multiply
    1,732.50x = 2,599.17 × 500.00
  4. Step 4: Simplify right side
    1,732.50x = 1,299,572.00
  5. Step 5: Solve for x
    x = 1,299,572.00/1,732.50
  6. Step 6: Final answer
    x = 750.11

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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.