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Finding the Fourth Proportional to 1,007.74, 1,390.57 and 565.69

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Solution

The fourth proportional to 1,007.74, 1,390.57 and 565.69 is: 780.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.74 : 1,390.57 = 565.69 : x
  2. Step 2: Convert to fraction form
    1,007.74/1,390.57 = 565.69/x
  3. Step 3: Cross multiply
    1,007.74x = 1,390.57 × 565.69
  4. Step 4: Simplify right side
    1,007.74x = 786,631.54
  5. Step 5: Solve for x
    x = 786,631.54/1,007.74
  6. Step 6: Final answer
    x = 780.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.