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Finding the Fourth Proportional to 1,028.47, 1,539.06 and 751.15

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Solution

The fourth proportional to 1,028.47, 1,539.06 and 751.15 is: 1,124.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.47 : 1,539.06 = 751.15 : x
  2. Step 2: Convert to fraction form
    1,028.47/1,539.06 = 751.15/x
  3. Step 3: Cross multiply
    1,028.47x = 1,539.06 × 751.15
  4. Step 4: Simplify right side
    1,028.47x = 1,156,061.07
  5. Step 5: Solve for x
    x = 1,156,061.07/1,028.47
  6. Step 6: Final answer
    x = 1,124.06

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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.