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Finding the Fourth Proportional to 1,203.57, 1,806.06 and 510.19

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Solution

The fourth proportional to 1,203.57, 1,806.06 and 510.19 is: 765.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.57 : 1,806.06 = 510.19 : x
  2. Step 2: Convert to fraction form
    1,203.57/1,806.06 = 510.19/x
  3. Step 3: Cross multiply
    1,203.57x = 1,806.06 × 510.19
  4. Step 4: Simplify right side
    1,203.57x = 921,433.75
  5. Step 5: Solve for x
    x = 921,433.75/1,203.57
  6. Step 6: Final answer
    x = 765.58

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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.