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Finding the Fourth Proportional to 917.64, 1,266.16 and 638.80

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Solution

The fourth proportional to 917.64, 1,266.16 and 638.80 is: 881.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.64 : 1,266.16 = 638.80 : x
  2. Step 2: Convert to fraction form
    917.64/1,266.16 = 638.80/x
  3. Step 3: Cross multiply
    917.64x = 1,266.16 × 638.80
  4. Step 4: Simplify right side
    917.64x = 808,823.01
  5. Step 5: Solve for x
    x = 808,823.01/917.64
  6. Step 6: Final answer
    x = 881.42

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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.