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Finding the Fourth Proportional to 1,088.66, 1,632.98 and 511.13

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Solution

The fourth proportional to 1,088.66, 1,632.98 and 511.13 is: 766.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.66 : 1,632.98 = 511.13 : x
  2. Step 2: Convert to fraction form
    1,088.66/1,632.98 = 511.13/x
  3. Step 3: Cross multiply
    1,088.66x = 1,632.98 × 511.13
  4. Step 4: Simplify right side
    1,088.66x = 834,665.07
  5. Step 5: Solve for x
    x = 834,665.07/1,088.66
  6. Step 6: Final answer
    x = 766.69

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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.