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Finding the Fourth Proportional to 1,203.51, 1,805.58 and 510.20

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Solution

The fourth proportional to 1,203.51, 1,805.58 and 510.20 is: 765.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.51 : 1,805.58 = 510.20 : x
  2. Step 2: Convert to fraction form
    1,203.51/1,805.58 = 510.20/x
  3. Step 3: Cross multiply
    1,203.51x = 1,805.58 × 510.20
  4. Step 4: Simplify right side
    1,203.51x = 921,204.37
  5. Step 5: Solve for x
    x = 921,204.37/1,203.51
  6. Step 6: Final answer
    x = 765.43

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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.