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Finding the Fourth Proportional to 873.90, 1,206 and 500.97

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Solution

The fourth proportional to 873.90, 1,206 and 500.97 is: 691.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.90 : 1,206 = 500.97 : x
  2. Step 2: Convert to fraction form
    873.90/1,206 = 500.97/x
  3. Step 3: Cross multiply
    873.90x = 1,206 × 500.97
  4. Step 4: Simplify right side
    873.90x = 604,169.82
  5. Step 5: Solve for x
    x = 604,169.82/873.90
  6. Step 6: Final answer
    x = 691.35

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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.