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Finding the Fourth Proportional to 1,030.57, 1,546.36 and 510.62

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Solution

The fourth proportional to 1,030.57, 1,546.36 and 510.62 is: 766.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.57 : 1,546.36 = 510.62 : x
  2. Step 2: Convert to fraction form
    1,030.57/1,546.36 = 510.62/x
  3. Step 3: Cross multiply
    1,030.57x = 1,546.36 × 510.62
  4. Step 4: Simplify right side
    1,030.57x = 789,602.03
  5. Step 5: Solve for x
    x = 789,602.03/1,030.57
  6. Step 6: Final answer
    x = 766.18

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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.