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Finding the Fourth Proportional to 1,534.47, 2,300.71 and 657.54

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Solution

The fourth proportional to 1,534.47, 2,300.71 and 657.54 is: 985.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.47 : 2,300.71 = 657.54 : x
  2. Step 2: Convert to fraction form
    1,534.47/2,300.71 = 657.54/x
  3. Step 3: Cross multiply
    1,534.47x = 2,300.71 × 657.54
  4. Step 4: Simplify right side
    1,534.47x = 1,512,808.85
  5. Step 5: Solve for x
    x = 1,512,808.85/1,534.47
  6. Step 6: Final answer
    x = 985.88

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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.