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Finding the Fourth Proportional to 1,063.04, 1,594.76 and 332.58

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Solution

The fourth proportional to 1,063.04, 1,594.76 and 332.58 is: 498.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,063.04 : 1,594.76 = 332.58 : x
  2. Step 2: Convert to fraction form
    1,063.04/1,594.76 = 332.58/x
  3. Step 3: Cross multiply
    1,063.04x = 1,594.76 × 332.58
  4. Step 4: Simplify right side
    1,063.04x = 530,385.28
  5. Step 5: Solve for x
    x = 530,385.28/1,063.04
  6. Step 6: Final answer
    x = 498.93

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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.