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Finding the Fourth Proportional to 1,150.70, 1,726.04 and 501.89

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Solution

The fourth proportional to 1,150.70, 1,726.04 and 501.89 is: 752.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.70 : 1,726.04 = 501.89 : x
  2. Step 2: Convert to fraction form
    1,150.70/1,726.04 = 501.89/x
  3. Step 3: Cross multiply
    1,150.70x = 1,726.04 × 501.89
  4. Step 4: Simplify right side
    1,150.70x = 866,271.08
  5. Step 5: Solve for x
    x = 866,271.08/1,150.70
  6. Step 6: Final answer
    x = 752.82

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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.