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Finding the Fourth Proportional to 1,020.18, 1,407.85 and 554.43

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Solution

The fourth proportional to 1,020.18, 1,407.85 and 554.43 is: 765.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.18 : 1,407.85 = 554.43 : x
  2. Step 2: Convert to fraction form
    1,020.18/1,407.85 = 554.43/x
  3. Step 3: Cross multiply
    1,020.18x = 1,407.85 × 554.43
  4. Step 4: Simplify right side
    1,020.18x = 780,552.89
  5. Step 5: Solve for x
    x = 780,552.89/1,020.18
  6. Step 6: Final answer
    x = 765.11

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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.