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Finding the Fourth Proportional to 929.82, 1,283.12 and 510.20

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Solution

The fourth proportional to 929.82, 1,283.12 and 510.20 is: 704.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.82 : 1,283.12 = 510.20 : x
  2. Step 2: Convert to fraction form
    929.82/1,283.12 = 510.20/x
  3. Step 3: Cross multiply
    929.82x = 1,283.12 × 510.20
  4. Step 4: Simplify right side
    929.82x = 654,638.86
  5. Step 5: Solve for x
    x = 654,638.86/929.82
  6. Step 6: Final answer
    x = 704.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.