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Finding the Fourth Proportional to 886.83, 1,225.98 and 805.83

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Solution

The fourth proportional to 886.83, 1,225.98 and 805.83 is: 1,114.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.83 : 1,225.98 = 805.83 : x
  2. Step 2: Convert to fraction form
    886.83/1,225.98 = 805.83/x
  3. Step 3: Cross multiply
    886.83x = 1,225.98 × 805.83
  4. Step 4: Simplify right side
    886.83x = 987,931.46
  5. Step 5: Solve for x
    x = 987,931.46/886.83
  6. Step 6: Final answer
    x = 1,114.00

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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.