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Finding the Fourth Proportional to 1,007.28, 1,390.16 and 565.16

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Solution

The fourth proportional to 1,007.28, 1,390.16 and 565.16 is: 779.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.28 : 1,390.16 = 565.16 : x
  2. Step 2: Convert to fraction form
    1,007.28/1,390.16 = 565.16/x
  3. Step 3: Cross multiply
    1,007.28x = 1,390.16 × 565.16
  4. Step 4: Simplify right side
    1,007.28x = 785,662.83
  5. Step 5: Solve for x
    x = 785,662.83/1,007.28
  6. Step 6: Final answer
    x = 779.98

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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.