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Finding the Fourth Proportional to 1,378.62, 2,068.54 and 557.48

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Solution

The fourth proportional to 1,378.62, 2,068.54 and 557.48 is: 836.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.62 : 2,068.54 = 557.48 : x
  2. Step 2: Convert to fraction form
    1,378.62/2,068.54 = 557.48/x
  3. Step 3: Cross multiply
    1,378.62x = 2,068.54 × 557.48
  4. Step 4: Simplify right side
    1,378.62x = 1,153,173.46
  5. Step 5: Solve for x
    x = 1,153,173.46/1,378.62
  6. Step 6: Final answer
    x = 836.47

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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.