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Finding the Fourth Proportional to 959.34, 1,437.82 and 410.88

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Solution

The fourth proportional to 959.34, 1,437.82 and 410.88 is: 615.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.34 : 1,437.82 = 410.88 : x
  2. Step 2: Convert to fraction form
    959.34/1,437.82 = 410.88/x
  3. Step 3: Cross multiply
    959.34x = 1,437.82 × 410.88
  4. Step 4: Simplify right side
    959.34x = 590,771.48
  5. Step 5: Solve for x
    x = 590,771.48/959.34
  6. Step 6: Final answer
    x = 615.81

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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.