Home / 1,470.16-2,205.07-496.13

Finding the Fourth Proportional to 1,470.16, 2,205.07 and 496.13

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Solution

The fourth proportional to 1,470.16, 2,205.07 and 496.13 is: 744.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.16 : 2,205.07 = 496.13 : x
  2. Step 2: Convert to fraction form
    1,470.16/2,205.07 = 496.13/x
  3. Step 3: Cross multiply
    1,470.16x = 2,205.07 × 496.13
  4. Step 4: Simplify right side
    1,470.16x = 1,094,001.38
  5. Step 5: Solve for x
    x = 1,094,001.38/1,470.16
  6. Step 6: Final answer
    x = 744.14

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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.