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Finding the Fourth Proportional to 1,296.66, 1,943.26 and 474.16

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Solution

The fourth proportional to 1,296.66, 1,943.26 and 474.16 is: 710.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.66 : 1,943.26 = 474.16 : x
  2. Step 2: Convert to fraction form
    1,296.66/1,943.26 = 474.16/x
  3. Step 3: Cross multiply
    1,296.66x = 1,943.26 × 474.16
  4. Step 4: Simplify right side
    1,296.66x = 921,416.16
  5. Step 5: Solve for x
    x = 921,416.16/1,296.66
  6. Step 6: Final answer
    x = 710.61

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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.