Home / 1,471.04-2,207.64-777.92

Finding the Fourth Proportional to 1,471.04, 2,207.64 and 777.92

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Solution

The fourth proportional to 1,471.04, 2,207.64 and 777.92 is: 1,167.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.04 : 2,207.64 = 777.92 : x
  2. Step 2: Convert to fraction form
    1,471.04/2,207.64 = 777.92/x
  3. Step 3: Cross multiply
    1,471.04x = 2,207.64 × 777.92
  4. Step 4: Simplify right side
    1,471.04x = 1,717,367.31
  5. Step 5: Solve for x
    x = 1,717,367.31/1,471.04
  6. Step 6: Final answer
    x = 1,167.45

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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.