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Finding the Fourth Proportional to 1,309.70, 1,962.24 and 692.04

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Solution

The fourth proportional to 1,309.70, 1,962.24 and 692.04 is: 1,036.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.70 : 1,962.24 = 692.04 : x
  2. Step 2: Convert to fraction form
    1,309.70/1,962.24 = 692.04/x
  3. Step 3: Cross multiply
    1,309.70x = 1,962.24 × 692.04
  4. Step 4: Simplify right side
    1,309.70x = 1,357,948.57
  5. Step 5: Solve for x
    x = 1,357,948.57/1,309.70
  6. Step 6: Final answer
    x = 1,036.84

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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.