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Finding the Fourth Proportional to 1,007.30, 1,390.04 and 565.16

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Solution

The fourth proportional to 1,007.30, 1,390.04 and 565.16 is: 779.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.30 : 1,390.04 = 565.16 : x
  2. Step 2: Convert to fraction form
    1,007.30/1,390.04 = 565.16/x
  3. Step 3: Cross multiply
    1,007.30x = 1,390.04 × 565.16
  4. Step 4: Simplify right side
    1,007.30x = 785,595.01
  5. Step 5: Solve for x
    x = 785,595.01/1,007.30
  6. Step 6: Final answer
    x = 779.90

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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.