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Finding the Fourth Proportional to 1,088.68, 1,633.08 and 358.48

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Solution

The fourth proportional to 1,088.68, 1,633.08 and 358.48 is: 537.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.68 : 1,633.08 = 358.48 : x
  2. Step 2: Convert to fraction form
    1,088.68/1,633.08 = 358.48/x
  3. Step 3: Cross multiply
    1,088.68x = 1,633.08 × 358.48
  4. Step 4: Simplify right side
    1,088.68x = 585,426.52
  5. Step 5: Solve for x
    x = 585,426.52/1,088.68
  6. Step 6: Final answer
    x = 537.74

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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.