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Finding the Fourth Proportional to 1,134.49, 1,565.64 and 637.12

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Solution

The fourth proportional to 1,134.49, 1,565.64 and 637.12 is: 879.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.49 : 1,565.64 = 637.12 : x
  2. Step 2: Convert to fraction form
    1,134.49/1,565.64 = 637.12/x
  3. Step 3: Cross multiply
    1,134.49x = 1,565.64 × 637.12
  4. Step 4: Simplify right side
    1,134.49x = 997,496.64
  5. Step 5: Solve for x
    x = 997,496.64/1,134.49
  6. Step 6: Final answer
    x = 879.25

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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.