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Finding the Fourth Proportional to 1,013.61, 1,526.79 and 952.11

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Solution

The fourth proportional to 1,013.61, 1,526.79 and 952.11 is: 1,434.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.61 : 1,526.79 = 952.11 : x
  2. Step 2: Convert to fraction form
    1,013.61/1,526.79 = 952.11/x
  3. Step 3: Cross multiply
    1,013.61x = 1,526.79 × 952.11
  4. Step 4: Simplify right side
    1,013.61x = 1,453,672.03
  5. Step 5: Solve for x
    x = 1,453,672.03/1,013.61
  6. Step 6: Final answer
    x = 1,434.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.