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Finding the Fourth Proportional to 1,505.47, 2,077.82 and 908.45

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Solution

The fourth proportional to 1,505.47, 2,077.82 and 908.45 is: 1,253.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.47 : 2,077.82 = 908.45 : x
  2. Step 2: Convert to fraction form
    1,505.47/2,077.82 = 908.45/x
  3. Step 3: Cross multiply
    1,505.47x = 2,077.82 × 908.45
  4. Step 4: Simplify right side
    1,505.47x = 1,887,595.58
  5. Step 5: Solve for x
    x = 1,887,595.58/1,505.47
  6. Step 6: Final answer
    x = 1,253.82

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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.