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Finding the Fourth Proportional to 715.13, 1,072.69 and 202.13

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Solution

The fourth proportional to 715.13, 1,072.69 and 202.13 is: 303.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.13 : 1,072.69 = 202.13 : x
  2. Step 2: Convert to fraction form
    715.13/1,072.69 = 202.13/x
  3. Step 3: Cross multiply
    715.13x = 1,072.69 × 202.13
  4. Step 4: Simplify right side
    715.13x = 216,822.83
  5. Step 5: Solve for x
    x = 216,822.83/715.13
  6. Step 6: Final answer
    x = 303.19

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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.