Home / 1,046.12-1,566.12-977.72

Finding the Fourth Proportional to 1,046.12, 1,566.12 and 977.72

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Solution

The fourth proportional to 1,046.12, 1,566.12 and 977.72 is: 1,463.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.12 : 1,566.12 = 977.72 : x
  2. Step 2: Convert to fraction form
    1,046.12/1,566.12 = 977.72/x
  3. Step 3: Cross multiply
    1,046.12x = 1,566.12 × 977.72
  4. Step 4: Simplify right side
    1,046.12x = 1,531,226.85
  5. Step 5: Solve for x
    x = 1,531,226.85/1,046.12
  6. Step 6: Final answer
    x = 1,463.72

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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.