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Finding the Fourth Proportional to 833.68, 1,248.93 and 467.36

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Solution

The fourth proportional to 833.68, 1,248.93 and 467.36 is: 700.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.68 : 1,248.93 = 467.36 : x
  2. Step 2: Convert to fraction form
    833.68/1,248.93 = 467.36/x
  3. Step 3: Cross multiply
    833.68x = 1,248.93 × 467.36
  4. Step 4: Simplify right side
    833.68x = 583,699.92
  5. Step 5: Solve for x
    x = 583,699.92/833.68
  6. Step 6: Final answer
    x = 700.15

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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.