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Finding the Fourth Proportional to 1,088.13, 1,632.48 and 967.32

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Solution

The fourth proportional to 1,088.13, 1,632.48 and 967.32 is: 1,451.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.13 : 1,632.48 = 967.32 : x
  2. Step 2: Convert to fraction form
    1,088.13/1,632.48 = 967.32/x
  3. Step 3: Cross multiply
    1,088.13x = 1,632.48 × 967.32
  4. Step 4: Simplify right side
    1,088.13x = 1,579,130.55
  5. Step 5: Solve for x
    x = 1,579,130.55/1,088.13
  6. Step 6: Final answer
    x = 1,451.23

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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.