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Finding the Fourth Proportional to 1,035.29, 1,552.00 and 670.25

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Solution

The fourth proportional to 1,035.29, 1,552.00 and 670.25 is: 1,004.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,035.29 : 1,552.00 = 670.25 : x
  2. Step 2: Convert to fraction form
    1,035.29/1,552.00 = 670.25/x
  3. Step 3: Cross multiply
    1,035.29x = 1,552.00 × 670.25
  4. Step 4: Simplify right side
    1,035.29x = 1,040,224.65
  5. Step 5: Solve for x
    x = 1,040,224.65/1,035.29
  6. Step 6: Final answer
    x = 1,004.77

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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.