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Finding the Fourth Proportional to 1,129.07, 1,692.38 and 924.55

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Solution

The fourth proportional to 1,129.07, 1,692.38 and 924.55 is: 1,385.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.07 : 1,692.38 = 924.55 : x
  2. Step 2: Convert to fraction form
    1,129.07/1,692.38 = 924.55/x
  3. Step 3: Cross multiply
    1,129.07x = 1,692.38 × 924.55
  4. Step 4: Simplify right side
    1,129.07x = 1,564,688.01
  5. Step 5: Solve for x
    x = 1,564,688.01/1,129.07
  6. Step 6: Final answer
    x = 1,385.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.