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Finding the Fourth Proportional to 1,046.15, 1,569.34 and 352.58

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Solution

The fourth proportional to 1,046.15, 1,569.34 and 352.58 is: 528.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.15 : 1,569.34 = 352.58 : x
  2. Step 2: Convert to fraction form
    1,046.15/1,569.34 = 352.58/x
  3. Step 3: Cross multiply
    1,046.15x = 1,569.34 × 352.58
  4. Step 4: Simplify right side
    1,046.15x = 553,310.05
  5. Step 5: Solve for x
    x = 553,310.05/1,046.15
  6. Step 6: Final answer
    x = 528.90

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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.