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Finding the Fourth Proportional to 1,176.12, 1,764.16 and 692.24

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Solution

The fourth proportional to 1,176.12, 1,764.16 and 692.24 is: 1,038.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.12 : 1,764.16 = 692.24 : x
  2. Step 2: Convert to fraction form
    1,176.12/1,764.16 = 692.24/x
  3. Step 3: Cross multiply
    1,176.12x = 1,764.16 × 692.24
  4. Step 4: Simplify right side
    1,176.12x = 1,221,222.12
  5. Step 5: Solve for x
    x = 1,221,222.12/1,176.12
  6. Step 6: Final answer
    x = 1,038.35

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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.