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Finding the Fourth Proportional to 1,253.67, 1,880.47 and 376.17

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Solution

The fourth proportional to 1,253.67, 1,880.47 and 376.17 is: 564.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.67 : 1,880.47 = 376.17 : x
  2. Step 2: Convert to fraction form
    1,253.67/1,880.47 = 376.17/x
  3. Step 3: Cross multiply
    1,253.67x = 1,880.47 × 376.17
  4. Step 4: Simplify right side
    1,253.67x = 707,376.40
  5. Step 5: Solve for x
    x = 707,376.40/1,253.67
  6. Step 6: Final answer
    x = 564.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.