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Finding the Fourth Proportional to 1,151.03, 1,726.90 and 740.63

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Solution

The fourth proportional to 1,151.03, 1,726.90 and 740.63 is: 1,111.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.03 : 1,726.90 = 740.63 : x
  2. Step 2: Convert to fraction form
    1,151.03/1,726.90 = 740.63/x
  3. Step 3: Cross multiply
    1,151.03x = 1,726.90 × 740.63
  4. Step 4: Simplify right side
    1,151.03x = 1,278,985.31
  5. Step 5: Solve for x
    x = 1,278,985.31/1,151.03
  6. Step 6: Final answer
    x = 1,111.17

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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.