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Finding the Fourth Proportional to 1,094.06, 1,510.29 and 701.61

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Solution

The fourth proportional to 1,094.06, 1,510.29 and 701.61 is: 968.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.06 : 1,510.29 = 701.61 : x
  2. Step 2: Convert to fraction form
    1,094.06/1,510.29 = 701.61/x
  3. Step 3: Cross multiply
    1,094.06x = 1,510.29 × 701.61
  4. Step 4: Simplify right side
    1,094.06x = 1,059,634.57
  5. Step 5: Solve for x
    x = 1,059,634.57/1,094.06
  6. Step 6: Final answer
    x = 968.54

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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.