Home / 1,470.12-2,206.31-777.18

Finding the Fourth Proportional to 1,470.12, 2,206.31 and 777.18

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Solution

The fourth proportional to 1,470.12, 2,206.31 and 777.18 is: 1,166.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.12 : 2,206.31 = 777.18 : x
  2. Step 2: Convert to fraction form
    1,470.12/2,206.31 = 777.18/x
  3. Step 3: Cross multiply
    1,470.12x = 2,206.31 × 777.18
  4. Step 4: Simplify right side
    1,470.12x = 1,714,700.01
  5. Step 5: Solve for x
    x = 1,714,700.01/1,470.12
  6. Step 6: Final answer
    x = 1,166.37

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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.