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Finding the Fourth Proportional to 1,134.87, 1,566.63 and 692.94

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Solution

The fourth proportional to 1,134.87, 1,566.63 and 692.94 is: 956.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.87 : 1,566.63 = 692.94 : x
  2. Step 2: Convert to fraction form
    1,134.87/1,566.63 = 692.94/x
  3. Step 3: Cross multiply
    1,134.87x = 1,566.63 × 692.94
  4. Step 4: Simplify right side
    1,134.87x = 1,085,580.59
  5. Step 5: Solve for x
    x = 1,085,580.59/1,134.87
  6. Step 6: Final answer
    x = 956.57

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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.