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Finding the Fourth Proportional to 1,007.80, 1,390.66 and 565.70

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Solution

The fourth proportional to 1,007.80, 1,390.66 and 565.70 is: 780.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.80 : 1,390.66 = 565.70 : x
  2. Step 2: Convert to fraction form
    1,007.80/1,390.66 = 565.70/x
  3. Step 3: Cross multiply
    1,007.80x = 1,390.66 × 565.70
  4. Step 4: Simplify right side
    1,007.80x = 786,687.99
  5. Step 5: Solve for x
    x = 786,687.99/1,007.80
  6. Step 6: Final answer
    x = 780.60

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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.