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Finding the Fourth Proportional to 1,378.96, 2,068.48 and 501.52

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Solution

The fourth proportional to 1,378.96, 2,068.48 and 501.52 is: 752.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,378.96 : 2,068.48 = 501.52 : x
  2. Step 2: Convert to fraction form
    1,378.96/2,068.48 = 501.52/x
  3. Step 3: Cross multiply
    1,378.96x = 2,068.48 × 501.52
  4. Step 4: Simplify right side
    1,378.96x = 1,037,384.09
  5. Step 5: Solve for x
    x = 1,037,384.09/1,378.96
  6. Step 6: Final answer
    x = 752.29

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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.