Home / 1,502.06-2,252.52-577.13

Finding the Fourth Proportional to 1,502.06, 2,252.52 and 577.13

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Solution

The fourth proportional to 1,502.06, 2,252.52 and 577.13 is: 865.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.06 : 2,252.52 = 577.13 : x
  2. Step 2: Convert to fraction form
    1,502.06/2,252.52 = 577.13/x
  3. Step 3: Cross multiply
    1,502.06x = 2,252.52 × 577.13
  4. Step 4: Simplify right side
    1,502.06x = 1,299,985.61
  5. Step 5: Solve for x
    x = 1,299,985.61/1,502.06
  6. Step 6: Final answer
    x = 865.47

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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.