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Finding the Fourth Proportional to 1,133.82, 1,565.24 and 783.90

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Solution

The fourth proportional to 1,133.82, 1,565.24 and 783.90 is: 1,082.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.82 : 1,565.24 = 783.90 : x
  2. Step 2: Convert to fraction form
    1,133.82/1,565.24 = 783.90/x
  3. Step 3: Cross multiply
    1,133.82x = 1,565.24 × 783.90
  4. Step 4: Simplify right side
    1,133.82x = 1,226,987.72
  5. Step 5: Solve for x
    x = 1,226,987.72/1,133.82
  6. Step 6: Final answer
    x = 1,082.17

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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.