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Finding the Fourth Proportional to 930.10, 1,283.51 and 510.44

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Solution

The fourth proportional to 930.10, 1,283.51 and 510.44 is: 704.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.10 : 1,283.51 = 510.44 : x
  2. Step 2: Convert to fraction form
    930.10/1,283.51 = 510.44/x
  3. Step 3: Cross multiply
    930.10x = 1,283.51 × 510.44
  4. Step 4: Simplify right side
    930.10x = 655,156.92
  5. Step 5: Solve for x
    x = 655,156.92/930.10
  6. Step 6: Final answer
    x = 704.39

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Double scale
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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.