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Finding the Fourth Proportional to 1,007.60, 1,390.64 and 565.54

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Solution

The fourth proportional to 1,007.60, 1,390.64 and 565.54 is: 780.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.60 : 1,390.64 = 565.54 : x
  2. Step 2: Convert to fraction form
    1,007.60/1,390.64 = 565.54/x
  3. Step 3: Cross multiply
    1,007.60x = 1,390.64 × 565.54
  4. Step 4: Simplify right side
    1,007.60x = 786,456.24
  5. Step 5: Solve for x
    x = 786,456.24/1,007.60
  6. Step 6: Final answer
    x = 780.52

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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.