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Finding the Fourth Proportional to 1,134.63, 1,565.95 and 692.78

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Solution

The fourth proportional to 1,134.63, 1,565.95 and 692.78 is: 956.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.63 : 1,565.95 = 692.78 : x
  2. Step 2: Convert to fraction form
    1,134.63/1,565.95 = 692.78/x
  3. Step 3: Cross multiply
    1,134.63x = 1,565.95 × 692.78
  4. Step 4: Simplify right side
    1,134.63x = 1,084,858.84
  5. Step 5: Solve for x
    x = 1,084,858.84/1,134.63
  6. Step 6: Final answer
    x = 956.14

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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.