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Finding the Fourth Proportional to 775.36, 1,070.18 and 540.46

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Solution

The fourth proportional to 775.36, 1,070.18 and 540.46 is: 745.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.36 : 1,070.18 = 540.46 : x
  2. Step 2: Convert to fraction form
    775.36/1,070.18 = 540.46/x
  3. Step 3: Cross multiply
    775.36x = 1,070.18 × 540.46
  4. Step 4: Simplify right side
    775.36x = 578,389.48
  5. Step 5: Solve for x
    x = 578,389.48/775.36
  6. Step 6: Final answer
    x = 745.96

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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.