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Finding the Fourth Proportional to 1,094.25, 1,510.07 and 745.55

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Solution

The fourth proportional to 1,094.25, 1,510.07 and 745.55 is: 1,028.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.25 : 1,510.07 = 745.55 : x
  2. Step 2: Convert to fraction form
    1,094.25/1,510.07 = 745.55/x
  3. Step 3: Cross multiply
    1,094.25x = 1,510.07 × 745.55
  4. Step 4: Simplify right side
    1,094.25x = 1,125,821.41
  5. Step 5: Solve for x
    x = 1,125,821.41/1,094.25
  6. Step 6: Final answer
    x = 1,028.85

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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.