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Finding the Fourth Proportional to 873.88, 1,206.16 and 500.85

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Solution

The fourth proportional to 873.88, 1,206.16 and 500.85 is: 691.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.88 : 1,206.16 = 500.85 : x
  2. Step 2: Convert to fraction form
    873.88/1,206.16 = 500.85/x
  3. Step 3: Cross multiply
    873.88x = 1,206.16 × 500.85
  4. Step 4: Simplify right side
    873.88x = 604,108.93
  5. Step 5: Solve for x
    x = 604,108.93/873.88
  6. Step 6: Final answer
    x = 691.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.