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Finding the Fourth Proportional to 1,094.09, 1,509.85 and 652.24

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Solution

The fourth proportional to 1,094.09, 1,509.85 and 652.24 is: 900.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.09 : 1,509.85 = 652.24 : x
  2. Step 2: Convert to fraction form
    1,094.09/1,509.85 = 652.24/x
  3. Step 3: Cross multiply
    1,094.09x = 1,509.85 × 652.24
  4. Step 4: Simplify right side
    1,094.09x = 984,787.27
  5. Step 5: Solve for x
    x = 984,787.27/1,094.09
  6. Step 6: Final answer
    x = 900.10

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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.