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Finding the Fourth Proportional to 1,151.06, 1,726.65 and 501.57

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Solution

The fourth proportional to 1,151.06, 1,726.65 and 501.57 is: 752.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.06 : 1,726.65 = 501.57 : x
  2. Step 2: Convert to fraction form
    1,151.06/1,726.65 = 501.57/x
  3. Step 3: Cross multiply
    1,151.06x = 1,726.65 × 501.57
  4. Step 4: Simplify right side
    1,151.06x = 866,035.84
  5. Step 5: Solve for x
    x = 866,035.84/1,151.06
  6. Step 6: Final answer
    x = 752.38

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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.