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Finding the Fourth Proportional to 1,094.33, 1,509.72 and 651.80

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Solution

The fourth proportional to 1,094.33, 1,509.72 and 651.80 is: 899.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.33 : 1,509.72 = 651.80 : x
  2. Step 2: Convert to fraction form
    1,094.33/1,509.72 = 651.80/x
  3. Step 3: Cross multiply
    1,094.33x = 1,509.72 × 651.80
  4. Step 4: Simplify right side
    1,094.33x = 984,035.50
  5. Step 5: Solve for x
    x = 984,035.50/1,094.33
  6. Step 6: Final answer
    x = 899.21

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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.