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Finding the Fourth Proportional to 1,142.04, 1,576.65 and 722.46

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Solution

The fourth proportional to 1,142.04, 1,576.65 and 722.46 is: 997.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.04 : 1,576.65 = 722.46 : x
  2. Step 2: Convert to fraction form
    1,142.04/1,576.65 = 722.46/x
  3. Step 3: Cross multiply
    1,142.04x = 1,576.65 × 722.46
  4. Step 4: Simplify right side
    1,142.04x = 1,139,066.56
  5. Step 5: Solve for x
    x = 1,139,066.56/1,142.04
  6. Step 6: Final answer
    x = 997.40

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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.