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Finding the Fourth Proportional to 874.02, 1,206.16 and 500.98

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Solution

The fourth proportional to 874.02, 1,206.16 and 500.98 is: 691.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.02 : 1,206.16 = 500.98 : x
  2. Step 2: Convert to fraction form
    874.02/1,206.16 = 500.98/x
  3. Step 3: Cross multiply
    874.02x = 1,206.16 × 500.98
  4. Step 4: Simplify right side
    874.02x = 604,257.77
  5. Step 5: Solve for x
    x = 604,257.77/874.02
  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.