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Finding the Fourth Proportional to 869.07, 1,302.66 and 429.66

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Solution

The fourth proportional to 869.07, 1,302.66 and 429.66 is: 644.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.07 : 1,302.66 = 429.66 : x
  2. Step 2: Convert to fraction form
    869.07/1,302.66 = 429.66/x
  3. Step 3: Cross multiply
    869.07x = 1,302.66 × 429.66
  4. Step 4: Simplify right side
    869.07x = 559,700.90
  5. Step 5: Solve for x
    x = 559,700.90/869.07
  6. Step 6: Final answer
    x = 644.02

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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.