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Finding the Fourth Proportional to 956.34, 1,434.98 and 566.33

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Solution

The fourth proportional to 956.34, 1,434.98 and 566.33 is: 849.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.34 : 1,434.98 = 566.33 : x
  2. Step 2: Convert to fraction form
    956.34/1,434.98 = 566.33/x
  3. Step 3: Cross multiply
    956.34x = 1,434.98 × 566.33
  4. Step 4: Simplify right side
    956.34x = 812,666.46
  5. Step 5: Solve for x
    x = 812,666.46/956.34
  6. Step 6: Final answer
    x = 849.77

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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.