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Finding the Fourth Proportional to 1,019.47, 1,405.39 and 753.52

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Solution

The fourth proportional to 1,019.47, 1,405.39 and 753.52 is: 1,038.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.47 : 1,405.39 = 753.52 : x
  2. Step 2: Convert to fraction form
    1,019.47/1,405.39 = 753.52/x
  3. Step 3: Cross multiply
    1,019.47x = 1,405.39 × 753.52
  4. Step 4: Simplify right side
    1,019.47x = 1,058,978.68
  5. Step 5: Solve for x
    x = 1,058,978.68/1,019.47
  6. Step 6: Final answer
    x = 1,038.76

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