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Finding the Fourth Proportional to 1,378.38, 1,901.46 and 880.50

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Solution

The fourth proportional to 1,378.38, 1,901.46 and 880.50 is: 1,214.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.38 : 1,901.46 = 880.50 : x
  2. Step 2: Convert to fraction form
    1,378.38/1,901.46 = 880.50/x
  3. Step 3: Cross multiply
    1,378.38x = 1,901.46 × 880.50
  4. Step 4: Simplify right side
    1,378.38x = 1,674,235.53
  5. Step 5: Solve for x
    x = 1,674,235.53/1,378.38
  6. Step 6: Final answer
    x = 1,214.64

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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.