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Finding the Fourth Proportional to 1,164.61, 1,744.08 and 753.13

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Solution

The fourth proportional to 1,164.61, 1,744.08 and 753.13 is: 1,127.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.61 : 1,744.08 = 753.13 : x
  2. Step 2: Convert to fraction form
    1,164.61/1,744.08 = 753.13/x
  3. Step 3: Cross multiply
    1,164.61x = 1,744.08 × 753.13
  4. Step 4: Simplify right side
    1,164.61x = 1,313,518.97
  5. Step 5: Solve for x
    x = 1,313,518.97/1,164.61
  6. Step 6: Final answer
    x = 1,127.86

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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.