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Finding the Fourth Proportional to 1,182.42, 1,780.67 and 1,030.19

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Solution

The fourth proportional to 1,182.42, 1,780.67 and 1,030.19 is: 1,551.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.42 : 1,780.67 = 1,030.19 : x
  2. Step 2: Convert to fraction form
    1,182.42/1,780.67 = 1,030.19/x
  3. Step 3: Cross multiply
    1,182.42x = 1,780.67 × 1,030.19
  4. Step 4: Simplify right side
    1,182.42x = 1,834,422.10
  5. Step 5: Solve for x
    x = 1,834,422.10/1,182.42
  6. Step 6: Final answer
    x = 1,551.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.