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Finding the Fourth Proportional to 1,125.32, 1,678.75 and 1,020.83

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Solution

The fourth proportional to 1,125.32, 1,678.75 and 1,020.83 is: 1,522.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.32 : 1,678.75 = 1,020.83 : x
  2. Step 2: Convert to fraction form
    1,125.32/1,678.75 = 1,020.83/x
  3. Step 3: Cross multiply
    1,125.32x = 1,678.75 × 1,020.83
  4. Step 4: Simplify right side
    1,125.32x = 1,713,718.36
  5. Step 5: Solve for x
    x = 1,713,718.36/1,125.32
  6. Step 6: Final answer
    x = 1,522.87

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.