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Finding the Fourth Proportional to 750.92, 1,037.10 and 746.12

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Solution

The fourth proportional to 750.92, 1,037.10 and 746.12 is: 1,030.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.92 : 1,037.10 = 746.12 : x
  2. Step 2: Convert to fraction form
    750.92/1,037.10 = 746.12/x
  3. Step 3: Cross multiply
    750.92x = 1,037.10 × 746.12
  4. Step 4: Simplify right side
    750.92x = 773,801.05
  5. Step 5: Solve for x
    x = 773,801.05/750.92
  6. Step 6: Final answer
    x = 1,030.47

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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.