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Finding the Fourth Proportional to 832.53, 1,148.18 and 596.07

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Solution

The fourth proportional to 832.53, 1,148.18 and 596.07 is: 822.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.53 : 1,148.18 = 596.07 : x
  2. Step 2: Convert to fraction form
    832.53/1,148.18 = 596.07/x
  3. Step 3: Cross multiply
    832.53x = 1,148.18 × 596.07
  4. Step 4: Simplify right side
    832.53x = 684,392.67
  5. Step 5: Solve for x
    x = 684,392.67/832.53
  6. Step 6: Final answer
    x = 822.07

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Why These Related Problems?

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