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Finding the Fourth Proportional to 1,500.47, 2,250.72 and 678.59

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Solution

The fourth proportional to 1,500.47, 2,250.72 and 678.59 is: 1,017.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.47 : 2,250.72 = 678.59 : x
  2. Step 2: Convert to fraction form
    1,500.47/2,250.72 = 678.59/x
  3. Step 3: Cross multiply
    1,500.47x = 2,250.72 × 678.59
  4. Step 4: Simplify right side
    1,500.47x = 1,527,316.08
  5. Step 5: Solve for x
    x = 1,527,316.08/1,500.47
  6. Step 6: Final answer
    x = 1,017.89

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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.