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Finding the Fourth Proportional to 956.13, 1,319.34 and 597.06

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Solution

The fourth proportional to 956.13, 1,319.34 and 597.06 is: 823.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.13 : 1,319.34 = 597.06 : x
  2. Step 2: Convert to fraction form
    956.13/1,319.34 = 597.06/x
  3. Step 3: Cross multiply
    956.13x = 1,319.34 × 597.06
  4. Step 4: Simplify right side
    956.13x = 787,722.17
  5. Step 5: Solve for x
    x = 787,722.17/956.13
  6. Step 6: Final answer
    x = 823.87

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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.