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Finding the Fourth Proportional to 1,094.02, 1,510.11 and 652.06

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Solution

The fourth proportional to 1,094.02, 1,510.11 and 652.06 is: 900.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.02 : 1,510.11 = 652.06 : x
  2. Step 2: Convert to fraction form
    1,094.02/1,510.11 = 652.06/x
  3. Step 3: Cross multiply
    1,094.02x = 1,510.11 × 652.06
  4. Step 4: Simplify right side
    1,094.02x = 984,682.33
  5. Step 5: Solve for x
    x = 984,682.33/1,094.02
  6. Step 6: Final answer
    x = 900.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.