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Finding the Fourth Proportional to 953.03, 1,314.78 and 598.79

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Solution

The fourth proportional to 953.03, 1,314.78 and 598.79 is: 826.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.03 : 1,314.78 = 598.79 : x
  2. Step 2: Convert to fraction form
    953.03/1,314.78 = 598.79/x
  3. Step 3: Cross multiply
    953.03x = 1,314.78 × 598.79
  4. Step 4: Simplify right side
    953.03x = 787,270.54
  5. Step 5: Solve for x
    x = 787,270.54/953.03
  6. Step 6: Final answer
    x = 826.08

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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.