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Finding the Fourth Proportional to 1,097.04, 1,514.43 and 648.98

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Solution

The fourth proportional to 1,097.04, 1,514.43 and 648.98 is: 895.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.04 : 1,514.43 = 648.98 : x
  2. Step 2: Convert to fraction form
    1,097.04/1,514.43 = 648.98/x
  3. Step 3: Cross multiply
    1,097.04x = 1,514.43 × 648.98
  4. Step 4: Simplify right side
    1,097.04x = 982,834.78
  5. Step 5: Solve for x
    x = 982,834.78/1,097.04
  6. Step 6: Final answer
    x = 895.90

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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.