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Finding the Fourth Proportional to 1,088.34, 1,632.81 and 394.98

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Solution

The fourth proportional to 1,088.34, 1,632.81 and 394.98 is: 592.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.34 : 1,632.81 = 394.98 : x
  2. Step 2: Convert to fraction form
    1,088.34/1,632.81 = 394.98/x
  3. Step 3: Cross multiply
    1,088.34x = 1,632.81 × 394.98
  4. Step 4: Simplify right side
    1,088.34x = 644,927.29
  5. Step 5: Solve for x
    x = 644,927.29/1,088.34
  6. Step 6: Final answer
    x = 592.58

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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.