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Finding the Fourth Proportional to 1,154.48, 1,731.53 and 746.47

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Solution

The fourth proportional to 1,154.48, 1,731.53 and 746.47 is: 1,119.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.48 : 1,731.53 = 746.47 : x
  2. Step 2: Convert to fraction form
    1,154.48/1,731.53 = 746.47/x
  3. Step 3: Cross multiply
    1,154.48x = 1,731.53 × 746.47
  4. Step 4: Simplify right side
    1,154.48x = 1,292,525.29
  5. Step 5: Solve for x
    x = 1,292,525.29/1,154.48
  6. Step 6: Final answer
    x = 1,119.58

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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.