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Finding the Fourth Proportional to 1,088.56, 1,625.14 and 924.58

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Solution

The fourth proportional to 1,088.56, 1,625.14 and 924.58 is: 1,380.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.56 : 1,625.14 = 924.58 : x
  2. Step 2: Convert to fraction form
    1,088.56/1,625.14 = 924.58/x
  3. Step 3: Cross multiply
    1,088.56x = 1,625.14 × 924.58
  4. Step 4: Simplify right side
    1,088.56x = 1,502,571.94
  5. Step 5: Solve for x
    x = 1,502,571.94/1,088.56
  6. Step 6: Final answer
    x = 1,380.33

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.