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Finding the Fourth Proportional to 849.66, 1,274.01 and 592.38

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Solution

The fourth proportional to 849.66, 1,274.01 and 592.38 is: 888.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.66 : 1,274.01 = 592.38 : x
  2. Step 2: Convert to fraction form
    849.66/1,274.01 = 592.38/x
  3. Step 3: Cross multiply
    849.66x = 1,274.01 × 592.38
  4. Step 4: Simplify right side
    849.66x = 754,698.04
  5. Step 5: Solve for x
    x = 754,698.04/849.66
  6. Step 6: Final answer
    x = 888.24

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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.