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Finding the Fourth Proportional to 1,035.07, 1,552.61 and 265.57

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Solution

The fourth proportional to 1,035.07, 1,552.61 and 265.57 is: 398.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.07 : 1,552.61 = 265.57 : x
  2. Step 2: Convert to fraction form
    1,035.07/1,552.61 = 265.57/x
  3. Step 3: Cross multiply
    1,035.07x = 1,552.61 × 265.57
  4. Step 4: Simplify right side
    1,035.07x = 412,326.64
  5. Step 5: Solve for x
    x = 412,326.64/1,035.07
  6. Step 6: Final answer
    x = 398.36

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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.