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Finding the Fourth Proportional to 1,046.84, 1,569.16 and 352.85

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Solution

The fourth proportional to 1,046.84, 1,569.16 and 352.85 is: 528.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.84 : 1,569.16 = 352.85 : x
  2. Step 2: Convert to fraction form
    1,046.84/1,569.16 = 352.85/x
  3. Step 3: Cross multiply
    1,046.84x = 1,569.16 × 352.85
  4. Step 4: Simplify right side
    1,046.84x = 553,674.60
  5. Step 5: Solve for x
    x = 553,674.60/1,046.84
  6. Step 6: Final answer
    x = 528.90

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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.