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Finding the Fourth Proportional to 962.91, 1,328.84 and 584.81

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Solution

The fourth proportional to 962.91, 1,328.84 and 584.81 is: 807.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    962.91 : 1,328.84 = 584.81 : x
  2. Step 2: Convert to fraction form
    962.91/1,328.84 = 584.81/x
  3. Step 3: Cross multiply
    962.91x = 1,328.84 × 584.81
  4. Step 4: Simplify right side
    962.91x = 777,116.53
  5. Step 5: Solve for x
    x = 777,116.53/962.91
  6. Step 6: Final answer
    x = 807.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.