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Finding the Fourth Proportional to 1,114.80, 1,538.16 and 649.08

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Solution

The fourth proportional to 1,114.80, 1,538.16 and 649.08 is: 895.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.80 : 1,538.16 = 649.08 : x
  2. Step 2: Convert to fraction form
    1,114.80/1,538.16 = 649.08/x
  3. Step 3: Cross multiply
    1,114.80x = 1,538.16 × 649.08
  4. Step 4: Simplify right side
    1,114.80x = 998,388.89
  5. Step 5: Solve for x
    x = 998,388.89/1,114.80
  6. Step 6: Final answer
    x = 895.58

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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.