Home / 1,416.57-2,127.29-767.76

Finding the Fourth Proportional to 1,416.57, 2,127.29 and 767.76

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Solution

The fourth proportional to 1,416.57, 2,127.29 and 767.76 is: 1,152.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.57 : 2,127.29 = 767.76 : x
  2. Step 2: Convert to fraction form
    1,416.57/2,127.29 = 767.76/x
  3. Step 3: Cross multiply
    1,416.57x = 2,127.29 × 767.76
  4. Step 4: Simplify right side
    1,416.57x = 1,633,248.17
  5. Step 5: Solve for x
    x = 1,633,248.17/1,416.57
  6. Step 6: Final answer
    x = 1,152.96

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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.