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Finding the Fourth Proportional to 1,019.48, 1,406.88 and 553.73

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Solution

The fourth proportional to 1,019.48, 1,406.88 and 553.73 is: 764.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.48 : 1,406.88 = 553.73 : x
  2. Step 2: Convert to fraction form
    1,019.48/1,406.88 = 553.73/x
  3. Step 3: Cross multiply
    1,019.48x = 1,406.88 × 553.73
  4. Step 4: Simplify right side
    1,019.48x = 779,031.66
  5. Step 5: Solve for x
    x = 779,031.66/1,019.48
  6. Step 6: Final answer
    x = 764.15

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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.