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Finding the Fourth Proportional to 881.64, 1,216.98 and 586.98

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Solution

The fourth proportional to 881.64, 1,216.98 and 586.98 is: 810.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.64 : 1,216.98 = 586.98 : x
  2. Step 2: Convert to fraction form
    881.64/1,216.98 = 586.98/x
  3. Step 3: Cross multiply
    881.64x = 1,216.98 × 586.98
  4. Step 4: Simplify right side
    881.64x = 714,342.92
  5. Step 5: Solve for x
    x = 714,342.92/881.64
  6. Step 6: Final answer
    x = 810.24

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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.