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Finding the Fourth Proportional to 1,534.07, 2,299.36 and 699.27

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Solution

The fourth proportional to 1,534.07, 2,299.36 and 699.27 is: 1,048.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534.07 : 2,299.36 = 699.27 : x
  2. Step 2: Convert to fraction form
    1,534.07/2,299.36 = 699.27/x
  3. Step 3: Cross multiply
    1,534.07x = 2,299.36 × 699.27
  4. Step 4: Simplify right side
    1,534.07x = 1,607,877.34
  5. Step 5: Solve for x
    x = 1,607,877.34/1,534.07
  6. Step 6: Final answer
    x = 1,048.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.