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Finding the Fourth Proportional to 1,030.30, 1,544.92 and 510.54

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Solution

The fourth proportional to 1,030.30, 1,544.92 and 510.54 is: 765.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.30 : 1,544.92 = 510.54 : x
  2. Step 2: Convert to fraction form
    1,030.30/1,544.92 = 510.54/x
  3. Step 3: Cross multiply
    1,030.30x = 1,544.92 × 510.54
  4. Step 4: Simplify right side
    1,030.30x = 788,743.46
  5. Step 5: Solve for x
    x = 788,743.46/1,030.30
  6. Step 6: Final answer
    x = 765.55

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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.