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Finding the Fourth Proportional to 930.09, 1,283.50 and 510.43

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Solution

The fourth proportional to 930.09, 1,283.50 and 510.43 is: 704.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.09 : 1,283.50 = 510.43 : x
  2. Step 2: Convert to fraction form
    930.09/1,283.50 = 510.43/x
  3. Step 3: Cross multiply
    930.09x = 1,283.50 × 510.43
  4. Step 4: Simplify right side
    930.09x = 655,132.42
  5. Step 5: Solve for x
    x = 655,132.42/930.09
  6. Step 6: Final answer
    x = 704.38

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1.5x scale

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.