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Finding the Fourth Proportional to 1,309.95, 1,962.61 and 692.29

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Solution

The fourth proportional to 1,309.95, 1,962.61 and 692.29 is: 1,037.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.95 : 1,962.61 = 692.29 : x
  2. Step 2: Convert to fraction form
    1,309.95/1,962.61 = 692.29/x
  3. Step 3: Cross multiply
    1,309.95x = 1,962.61 × 692.29
  4. Step 4: Simplify right side
    1,309.95x = 1,358,695.28
  5. Step 5: Solve for x
    x = 1,358,695.28/1,309.95
  6. Step 6: Final answer
    x = 1,037.21

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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.