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Finding the Fourth Proportional to 833, 1,248.66 and 346.32

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Solution

The fourth proportional to 833, 1,248.66 and 346.32 is: 519.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    833 : 1,248.66 = 346.32 : x
  2. Step 2: Convert to fraction form
    833/1,248.66 = 346.32/x
  3. Step 3: Cross multiply
    833x = 1,248.66 × 346.32
  4. Step 4: Simplify right side
    833x = 432,435.93
  5. Step 5: Solve for x
    x = 432,435.93/833
  6. Step 6: Final answer
    x = 519.13

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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.