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Finding the Fourth Proportional to 1,088.63, 1,633.99 and 472.52

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Solution

The fourth proportional to 1,088.63, 1,633.99 and 472.52 is: 709.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.63 : 1,633.99 = 472.52 : x
  2. Step 2: Convert to fraction form
    1,088.63/1,633.99 = 472.52/x
  3. Step 3: Cross multiply
    1,088.63x = 1,633.99 × 472.52
  4. Step 4: Simplify right side
    1,088.63x = 772,092.95
  5. Step 5: Solve for x
    x = 772,092.95/1,088.63
  6. Step 6: Final answer
    x = 709.23

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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.