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Finding the Fourth Proportional to 1,122.08, 1,548.59 and 650

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Solution

The fourth proportional to 1,122.08, 1,548.59 and 650 is: 897.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.08 : 1,548.59 = 650 : x
  2. Step 2: Convert to fraction form
    1,122.08/1,548.59 = 650/x
  3. Step 3: Cross multiply
    1,122.08x = 1,548.59 × 650
  4. Step 4: Simplify right side
    1,122.08x = 1,006,580.25
  5. Step 5: Solve for x
    x = 1,006,580.25/1,122.08
  6. Step 6: Final answer
    x = 897.07

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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.