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Finding the Fourth Proportional to 1,134.78, 1,565.98 and 692.59

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Solution

The fourth proportional to 1,134.78, 1,565.98 and 692.59 is: 955.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.78 : 1,565.98 = 692.59 : x
  2. Step 2: Convert to fraction form
    1,134.78/1,565.98 = 692.59/x
  3. Step 3: Cross multiply
    1,134.78x = 1,565.98 × 692.59
  4. Step 4: Simplify right side
    1,134.78x = 1,084,582.09
  5. Step 5: Solve for x
    x = 1,084,582.09/1,134.78
  6. Step 6: Final answer
    x = 955.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.