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Finding the Fourth Proportional to 1,007.34, 1,390.32 and 565.44

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Solution

The fourth proportional to 1,007.34, 1,390.32 and 565.44 is: 780.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.34 : 1,390.32 = 565.44 : x
  2. Step 2: Convert to fraction form
    1,007.34/1,390.32 = 565.44/x
  3. Step 3: Cross multiply
    1,007.34x = 1,390.32 × 565.44
  4. Step 4: Simplify right side
    1,007.34x = 786,142.54
  5. Step 5: Solve for x
    x = 786,142.54/1,007.34
  6. Step 6: Final answer
    x = 780.41

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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.