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Finding the Fourth Proportional to 1,094.78, 1,510.83 and 652.72

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Solution

The fourth proportional to 1,094.78, 1,510.83 and 652.72 is: 900.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.78 : 1,510.83 = 652.72 : x
  2. Step 2: Convert to fraction form
    1,094.78/1,510.83 = 652.72/x
  3. Step 3: Cross multiply
    1,094.78x = 1,510.83 × 652.72
  4. Step 4: Simplify right side
    1,094.78x = 986,145.18
  5. Step 5: Solve for x
    x = 986,145.18/1,094.78
  6. Step 6: Final answer
    x = 900.77

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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.