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Finding the Fourth Proportional to 1,007.13, 1,502.51 and 952.63

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Solution

The fourth proportional to 1,007.13, 1,502.51 and 952.63 is: 1,421.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.13 : 1,502.51 = 952.63 : x
  2. Step 2: Convert to fraction form
    1,007.13/1,502.51 = 952.63/x
  3. Step 3: Cross multiply
    1,007.13x = 1,502.51 × 952.63
  4. Step 4: Simplify right side
    1,007.13x = 1,431,335.44
  5. Step 5: Solve for x
    x = 1,431,335.44/1,007.13
  6. Step 6: Final answer
    x = 1,421.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.