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Finding the Fourth Proportional to 1,376.04, 2,063.70 and 510.60

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Solution

The fourth proportional to 1,376.04, 2,063.70 and 510.60 is: 765.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.04 : 2,063.70 = 510.60 : x
  2. Step 2: Convert to fraction form
    1,376.04/2,063.70 = 510.60/x
  3. Step 3: Cross multiply
    1,376.04x = 2,063.70 × 510.60
  4. Step 4: Simplify right side
    1,376.04x = 1,053,725.22
  5. Step 5: Solve for x
    x = 1,053,725.22/1,376.04
  6. Step 6: Final answer
    x = 765.77

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