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Finding the Fourth Proportional to 958.34, 1,437.08 and 547.66

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Solution

The fourth proportional to 958.34, 1,437.08 and 547.66 is: 821.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.34 : 1,437.08 = 547.66 : x
  2. Step 2: Convert to fraction form
    958.34/1,437.08 = 547.66/x
  3. Step 3: Cross multiply
    958.34x = 1,437.08 × 547.66
  4. Step 4: Simplify right side
    958.34x = 787,031.23
  5. Step 5: Solve for x
    x = 787,031.23/958.34
  6. Step 6: Final answer
    x = 821.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.