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Finding the Fourth Proportional to 1,088.83, 1,633.51 and 358.48

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Solution

The fourth proportional to 1,088.83, 1,633.51 and 358.48 is: 537.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.83 : 1,633.51 = 358.48 : x
  2. Step 2: Convert to fraction form
    1,088.83/1,633.51 = 358.48/x
  3. Step 3: Cross multiply
    1,088.83x = 1,633.51 × 358.48
  4. Step 4: Simplify right side
    1,088.83x = 585,572.50
  5. Step 5: Solve for x
    x = 585,572.50/1,088.83
  6. Step 6: Final answer
    x = 537.80

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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.