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Finding the Fourth Proportional to 930.17, 1,283.54 and 510.43

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Solution

The fourth proportional to 930.17, 1,283.54 and 510.43 is: 704.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.17 : 1,283.54 = 510.43 : x
  2. Step 2: Convert to fraction form
    930.17/1,283.54 = 510.43/x
  3. Step 3: Cross multiply
    930.17x = 1,283.54 × 510.43
  4. Step 4: Simplify right side
    930.17x = 655,155.39
  5. Step 5: Solve for x
    x = 655,155.39/930.17
  6. Step 6: Final answer
    x = 704.34

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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.