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Finding the Fourth Proportional to 1,376.46, 2,065.59 and 510.75

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Solution

The fourth proportional to 1,376.46, 2,065.59 and 510.75 is: 766.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.46 : 2,065.59 = 510.75 : x
  2. Step 2: Convert to fraction form
    1,376.46/2,065.59 = 510.75/x
  3. Step 3: Cross multiply
    1,376.46x = 2,065.59 × 510.75
  4. Step 4: Simplify right side
    1,376.46x = 1,055,000.09
  5. Step 5: Solve for x
    x = 1,055,000.09/1,376.46
  6. Step 6: Final answer
    x = 766.46

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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.