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Finding the Fourth Proportional to 1,376.60, 2,065.16 and 510.88

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Solution

The fourth proportional to 1,376.60, 2,065.16 and 510.88 is: 766.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.60 : 2,065.16 = 510.88 : x
  2. Step 2: Convert to fraction form
    1,376.60/2,065.16 = 510.88/x
  3. Step 3: Cross multiply
    1,376.60x = 2,065.16 × 510.88
  4. Step 4: Simplify right side
    1,376.60x = 1,055,048.94
  5. Step 5: Solve for x
    x = 1,055,048.94/1,376.60
  6. Step 6: Final answer
    x = 766.42

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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.