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Finding the Fourth Proportional to 1,296.95, 1,945.22 and 566.53

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Solution

The fourth proportional to 1,296.95, 1,945.22 and 566.53 is: 849.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.95 : 1,945.22 = 566.53 : x
  2. Step 2: Convert to fraction form
    1,296.95/1,945.22 = 566.53/x
  3. Step 3: Cross multiply
    1,296.95x = 1,945.22 × 566.53
  4. Step 4: Simplify right side
    1,296.95x = 1,102,017.79
  5. Step 5: Solve for x
    x = 1,102,017.79/1,296.95
  6. Step 6: Final answer
    x = 849.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.