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Finding the Fourth Proportional to 1,151, 1,588.74 and 737

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Solution

The fourth proportional to 1,151, 1,588.74 and 737 is: 1,017.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151 : 1,588.74 = 737 : x
  2. Step 2: Convert to fraction form
    1,151/1,588.74 = 737/x
  3. Step 3: Cross multiply
    1,151x = 1,588.74 × 737
  4. Step 4: Simplify right side
    1,151x = 1,170,901.38
  5. Step 5: Solve for x
    x = 1,170,901.38/1,151
  6. Step 6: Final answer
    x = 1,017.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.