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Finding the Fourth Proportional to 917.42, 1,266.17 and 770.00

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Solution

The fourth proportional to 917.42, 1,266.17 and 770.00 is: 1,062.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.42 : 1,266.17 = 770.00 : x
  2. Step 2: Convert to fraction form
    917.42/1,266.17 = 770.00/x
  3. Step 3: Cross multiply
    917.42x = 1,266.17 × 770.00
  4. Step 4: Simplify right side
    917.42x = 974,940.72
  5. Step 5: Solve for x
    x = 974,940.72/917.42
  6. Step 6: Final answer
    x = 1,062.70

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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.