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Finding the Fourth Proportional to 1,063.34, 1,594.54 and 332.76

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Solution

The fourth proportional to 1,063.34, 1,594.54 and 332.76 is: 498.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.34 : 1,594.54 = 332.76 : x
  2. Step 2: Convert to fraction form
    1,063.34/1,594.54 = 332.76/x
  3. Step 3: Cross multiply
    1,063.34x = 1,594.54 × 332.76
  4. Step 4: Simplify right side
    1,063.34x = 530,599.13
  5. Step 5: Solve for x
    x = 530,599.13/1,063.34
  6. Step 6: Final answer
    x = 498.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.