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Finding the Fourth Proportional to 1,088.35, 1,632.63 and 358

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Solution

The fourth proportional to 1,088.35, 1,632.63 and 358 is: 537.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.35 : 1,632.63 = 358 : x
  2. Step 2: Convert to fraction form
    1,088.35/1,632.63 = 358/x
  3. Step 3: Cross multiply
    1,088.35x = 1,632.63 × 358
  4. Step 4: Simplify right side
    1,088.35x = 584,481.54
  5. Step 5: Solve for x
    x = 584,481.54/1,088.35
  6. Step 6: Final answer
    x = 537.03

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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.