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Finding the Fourth Proportional to 1,204.16, 1,805.93 and 510.47

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Solution

The fourth proportional to 1,204.16, 1,805.93 and 510.47 is: 765.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.16 : 1,805.93 = 510.47 : x
  2. Step 2: Convert to fraction form
    1,204.16/1,805.93 = 510.47/x
  3. Step 3: Cross multiply
    1,204.16x = 1,805.93 × 510.47
  4. Step 4: Simplify right side
    1,204.16x = 921,873.09
  5. Step 5: Solve for x
    x = 921,873.09/1,204.16
  6. Step 6: Final answer
    x = 765.57

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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.