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Finding the Fourth Proportional to 1,088.33, 1,634.31 and 594.45

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Solution

The fourth proportional to 1,088.33, 1,634.31 and 594.45 is: 892.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.33 : 1,634.31 = 594.45 : x
  2. Step 2: Convert to fraction form
    1,088.33/1,634.31 = 594.45/x
  3. Step 3: Cross multiply
    1,088.33x = 1,634.31 × 594.45
  4. Step 4: Simplify right side
    1,088.33x = 971,515.58
  5. Step 5: Solve for x
    x = 971,515.58/1,088.33
  6. Step 6: Final answer
    x = 892.67

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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.