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Finding the Fourth Proportional to 1,182.49, 1,631.51 and 703.87

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Solution

The fourth proportional to 1,182.49, 1,631.51 and 703.87 is: 971.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.49 : 1,631.51 = 703.87 : x
  2. Step 2: Convert to fraction form
    1,182.49/1,631.51 = 703.87/x
  3. Step 3: Cross multiply
    1,182.49x = 1,631.51 × 703.87
  4. Step 4: Simplify right side
    1,182.49x = 1,148,359.27
  5. Step 5: Solve for x
    x = 1,148,359.27/1,182.49
  6. Step 6: Final answer
    x = 971.14

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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.