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Finding the Fourth Proportional to 952.49, 1,315.06 and 598.91

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Solution

The fourth proportional to 952.49, 1,315.06 and 598.91 is: 826.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.49 : 1,315.06 = 598.91 : x
  2. Step 2: Convert to fraction form
    952.49/1,315.06 = 598.91/x
  3. Step 3: Cross multiply
    952.49x = 1,315.06 × 598.91
  4. Step 4: Simplify right side
    952.49x = 787,594.51
  5. Step 5: Solve for x
    x = 787,594.51/952.49
  6. Step 6: Final answer
    x = 826.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.