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Finding the Fourth Proportional to 1,062.16, 1,590.78 and 512.56

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Solution

The fourth proportional to 1,062.16, 1,590.78 and 512.56 is: 767.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.16 : 1,590.78 = 512.56 : x
  2. Step 2: Convert to fraction form
    1,062.16/1,590.78 = 512.56/x
  3. Step 3: Cross multiply
    1,062.16x = 1,590.78 × 512.56
  4. Step 4: Simplify right side
    1,062.16x = 815,370.20
  5. Step 5: Solve for x
    x = 815,370.20/1,062.16
  6. Step 6: Final answer
    x = 767.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.