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Finding the Fourth Proportional to 958.54, 1,437.50 and 465.20

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Solution

The fourth proportional to 958.54, 1,437.50 and 465.20 is: 697.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    958.54 : 1,437.50 = 465.20 : x
  2. Step 2: Convert to fraction form
    958.54/1,437.50 = 465.20/x
  3. Step 3: Cross multiply
    958.54x = 1,437.50 × 465.20
  4. Step 4: Simplify right side
    958.54x = 668,725
  5. Step 5: Solve for x
    x = 668,725/958.54
  6. Step 6: Final answer
    x = 697.65

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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.