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Finding the Fourth Proportional to 1,088.02, 1,632.02 and 266.28

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Solution

The fourth proportional to 1,088.02, 1,632.02 and 266.28 is: 399.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.02 : 1,632.02 = 266.28 : x
  2. Step 2: Convert to fraction form
    1,088.02/1,632.02 = 266.28/x
  3. Step 3: Cross multiply
    1,088.02x = 1,632.02 × 266.28
  4. Step 4: Simplify right side
    1,088.02x = 434,574.29
  5. Step 5: Solve for x
    x = 434,574.29/1,088.02
  6. Step 6: Final answer
    x = 399.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.