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Finding the Fourth Proportional to 930.02, 1,283.38 and 537.02

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Solution

The fourth proportional to 930.02, 1,283.38 and 537.02 is: 741.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.02 : 1,283.38 = 537.02 : x
  2. Step 2: Convert to fraction form
    930.02/1,283.38 = 537.02/x
  3. Step 3: Cross multiply
    930.02x = 1,283.38 × 537.02
  4. Step 4: Simplify right side
    930.02x = 689,200.73
  5. Step 5: Solve for x
    x = 689,200.73/930.02
  6. Step 6: Final answer
    x = 741.06

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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.