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Finding the Fourth Proportional to 1,192.68, 1,646.26 and 750.56

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Solution

The fourth proportional to 1,192.68, 1,646.26 and 750.56 is: 1,036.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.68 : 1,646.26 = 750.56 : x
  2. Step 2: Convert to fraction form
    1,192.68/1,646.26 = 750.56/x
  3. Step 3: Cross multiply
    1,192.68x = 1,646.26 × 750.56
  4. Step 4: Simplify right side
    1,192.68x = 1,235,616.91
  5. Step 5: Solve for x
    x = 1,235,616.91/1,192.68
  6. Step 6: Final answer
    x = 1,036.00

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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.