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Finding the Fourth Proportional to 1,007.56, 1,390.59 and 565.60

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Solution

The fourth proportional to 1,007.56, 1,390.59 and 565.60 is: 780.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.56 : 1,390.59 = 565.60 : x
  2. Step 2: Convert to fraction form
    1,007.56/1,390.59 = 565.60/x
  3. Step 3: Cross multiply
    1,007.56x = 1,390.59 × 565.60
  4. Step 4: Simplify right side
    1,007.56x = 786,515.97
  5. Step 5: Solve for x
    x = 786,515.97/1,007.56
  6. Step 6: Final answer
    x = 780.62

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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.