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Finding the Fourth Proportional to 1,134.35, 1,565.53 and 692.55

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Solution

The fourth proportional to 1,134.35, 1,565.53 and 692.55 is: 955.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.35 : 1,565.53 = 692.55 : x
  2. Step 2: Convert to fraction form
    1,134.35/1,565.53 = 692.55/x
  3. Step 3: Cross multiply
    1,134.35x = 1,565.53 × 692.55
  4. Step 4: Simplify right side
    1,134.35x = 1,084,206.07
  5. Step 5: Solve for x
    x = 1,084,206.07/1,134.35
  6. Step 6: Final answer
    x = 955.79

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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.