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Finding the Fourth Proportional to 929.80, 1,283.14 and 510.15

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Solution

The fourth proportional to 929.80, 1,283.14 and 510.15 is: 704.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.80 : 1,283.14 = 510.15 : x
  2. Step 2: Convert to fraction form
    929.80/1,283.14 = 510.15/x
  3. Step 3: Cross multiply
    929.80x = 1,283.14 × 510.15
  4. Step 4: Simplify right side
    929.80x = 654,592.10
  5. Step 5: Solve for x
    x = 654,592.10/929.80
  6. Step 6: Final answer
    x = 704.01

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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.