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Finding the Fourth Proportional to 1,035.78, 1,544.16 and 1,000.14

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Solution

The fourth proportional to 1,035.78, 1,544.16 and 1,000.14 is: 1,491.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.78 : 1,544.16 = 1,000.14 : x
  2. Step 2: Convert to fraction form
    1,035.78/1,544.16 = 1,000.14/x
  3. Step 3: Cross multiply
    1,035.78x = 1,544.16 × 1,000.14
  4. Step 4: Simplify right side
    1,035.78x = 1,544,376.18
  5. Step 5: Solve for x
    x = 1,544,376.18/1,035.78
  6. Step 6: Final answer
    x = 1,491.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.