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Finding the Fourth Proportional to 1,094.23, 1,510.25 and 759.05

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Solution

The fourth proportional to 1,094.23, 1,510.25 and 759.05 is: 1,047.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.23 : 1,510.25 = 759.05 : x
  2. Step 2: Convert to fraction form
    1,094.23/1,510.25 = 759.05/x
  3. Step 3: Cross multiply
    1,094.23x = 1,510.25 × 759.05
  4. Step 4: Simplify right side
    1,094.23x = 1,146,347.71
  5. Step 5: Solve for x
    x = 1,146,347.71/1,094.23
  6. Step 6: Final answer
    x = 1,047.63

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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.