Home / 1,111.20-1,666.08-461.76

Finding the Fourth Proportional to 1,111.20, 1,666.08 and 461.76

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Solution

The fourth proportional to 1,111.20, 1,666.08 and 461.76 is: 692.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,111.20 : 1,666.08 = 461.76 : x
  2. Step 2: Convert to fraction form
    1,111.20/1,666.08 = 461.76/x
  3. Step 3: Cross multiply
    1,111.20x = 1,666.08 × 461.76
  4. Step 4: Simplify right side
    1,111.20x = 769,329.10
  5. Step 5: Solve for x
    x = 769,329.10/1,111.20
  6. Step 6: Final answer
    x = 692.34

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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.