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Finding the Fourth Proportional to 1,046.51, 1,569.18 and 352.82

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Solution

The fourth proportional to 1,046.51, 1,569.18 and 352.82 is: 529.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046.51 : 1,569.18 = 352.82 : x
  2. Step 2: Convert to fraction form
    1,046.51/1,569.18 = 352.82/x
  3. Step 3: Cross multiply
    1,046.51x = 1,569.18 × 352.82
  4. Step 4: Simplify right side
    1,046.51x = 553,638.09
  5. Step 5: Solve for x
    x = 553,638.09/1,046.51
  6. Step 6: Final answer
    x = 529.03

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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.