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Finding the Fourth Proportional to 1,094.18, 1,510.17 and 652.11

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Solution

The fourth proportional to 1,094.18, 1,510.17 and 652.11 is: 900.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.18 : 1,510.17 = 652.11 : x
  2. Step 2: Convert to fraction form
    1,094.18/1,510.17 = 652.11/x
  3. Step 3: Cross multiply
    1,094.18x = 1,510.17 × 652.11
  4. Step 4: Simplify right side
    1,094.18x = 984,801.30
  5. Step 5: Solve for x
    x = 984,801.30/1,094.18
  6. Step 6: Final answer
    x = 900.03

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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.