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Finding the Fourth Proportional to 775.08, 1,068.53 and 656.58

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Solution

The fourth proportional to 775.08, 1,068.53 and 656.58 is: 905.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.08 : 1,068.53 = 656.58 : x
  2. Step 2: Convert to fraction form
    775.08/1,068.53 = 656.58/x
  3. Step 3: Cross multiply
    775.08x = 1,068.53 × 656.58
  4. Step 4: Simplify right side
    775.08x = 701,572.14
  5. Step 5: Solve for x
    x = 701,572.14/775.08
  6. Step 6: Final answer
    x = 905.16

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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.