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Finding the Fourth Proportional to 1,094.58, 1,510.61 and 652.73

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Solution

The fourth proportional to 1,094.58, 1,510.61 and 652.73 is: 900.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.58 : 1,510.61 = 652.73 : x
  2. Step 2: Convert to fraction form
    1,094.58/1,510.61 = 652.73/x
  3. Step 3: Cross multiply
    1,094.58x = 1,510.61 × 652.73
  4. Step 4: Simplify right side
    1,094.58x = 986,009.65
  5. Step 5: Solve for x
    x = 986,009.65/1,094.58
  6. Step 6: Final answer
    x = 900.81

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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.