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Finding the Fourth Proportional to 953.34, 1,314.87 and 598.95

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Solution

The fourth proportional to 953.34, 1,314.87 and 598.95 is: 826.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.34 : 1,314.87 = 598.95 : x
  2. Step 2: Convert to fraction form
    953.34/1,314.87 = 598.95/x
  3. Step 3: Cross multiply
    953.34x = 1,314.87 × 598.95
  4. Step 4: Simplify right side
    953.34x = 787,541.39
  5. Step 5: Solve for x
    x = 787,541.39/953.34
  6. Step 6: Final answer
    x = 826.09

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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.