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Finding the Fourth Proportional to 1,134.66, 1,565.91 and 692.58

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Solution

The fourth proportional to 1,134.66, 1,565.91 and 692.58 is: 955.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.66 : 1,565.91 = 692.58 : x
  2. Step 2: Convert to fraction form
    1,134.66/1,565.91 = 692.58/x
  3. Step 3: Cross multiply
    1,134.66x = 1,565.91 × 692.58
  4. Step 4: Simplify right side
    1,134.66x = 1,084,517.95
  5. Step 5: Solve for x
    x = 1,084,517.95/1,134.66
  6. Step 6: Final answer
    x = 955.81

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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.