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Finding the Fourth Proportional to 1,094.23, 1,510.23 and 652.29

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Solution

The fourth proportional to 1,094.23, 1,510.23 and 652.29 is: 900.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.23 : 1,510.23 = 652.29 : x
  2. Step 2: Convert to fraction form
    1,094.23/1,510.23 = 652.29/x
  3. Step 3: Cross multiply
    1,094.23x = 1,510.23 × 652.29
  4. Step 4: Simplify right side
    1,094.23x = 985,107.93
  5. Step 5: Solve for x
    x = 985,107.93/1,094.23
  6. Step 6: Final answer
    x = 900.28

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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.