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Finding the Fourth Proportional to 1,182.19, 1,631.40 and 651.06

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Solution

The fourth proportional to 1,182.19, 1,631.40 and 651.06 is: 898.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.19 : 1,631.40 = 651.06 : x
  2. Step 2: Convert to fraction form
    1,182.19/1,631.40 = 651.06/x
  3. Step 3: Cross multiply
    1,182.19x = 1,631.40 × 651.06
  4. Step 4: Simplify right side
    1,182.19x = 1,062,135.61
  5. Step 5: Solve for x
    x = 1,062,135.61/1,182.19
  6. Step 6: Final answer
    x = 898.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.