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Finding the Fourth Proportional to 1,088.16, 1,501.52 and 694.91

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Solution

The fourth proportional to 1,088.16, 1,501.52 and 694.91 is: 958.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.16 : 1,501.52 = 694.91 : x
  2. Step 2: Convert to fraction form
    1,088.16/1,501.52 = 694.91/x
  3. Step 3: Cross multiply
    1,088.16x = 1,501.52 × 694.91
  4. Step 4: Simplify right side
    1,088.16x = 1,043,410.28
  5. Step 5: Solve for x
    x = 1,043,410.28/1,088.16
  6. Step 6: Final answer
    x = 958.88

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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.