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Finding the Fourth Proportional to 1,088.78, 1,632.98 and 358.25

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Solution

The fourth proportional to 1,088.78, 1,632.98 and 358.25 is: 537.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.78 : 1,632.98 = 358.25 : x
  2. Step 2: Convert to fraction form
    1,088.78/1,632.98 = 358.25/x
  3. Step 3: Cross multiply
    1,088.78x = 1,632.98 × 358.25
  4. Step 4: Simplify right side
    1,088.78x = 585,007.82
  5. Step 5: Solve for x
    x = 585,007.82/1,088.78
  6. Step 6: Final answer
    x = 537.31

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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.