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Finding the Fourth Proportional to 1,011.18, 1,514.57 and 620.02

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Solution

The fourth proportional to 1,011.18, 1,514.57 and 620.02 is: 928.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.18 : 1,514.57 = 620.02 : x
  2. Step 2: Convert to fraction form
    1,011.18/1,514.57 = 620.02/x
  3. Step 3: Cross multiply
    1,011.18x = 1,514.57 × 620.02
  4. Step 4: Simplify right side
    1,011.18x = 939,061.46
  5. Step 5: Solve for x
    x = 939,061.46/1,011.18
  6. Step 6: Final answer
    x = 928.68

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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.