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Finding the Fourth Proportional to 832.23, 1,148.45 and 482.93

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Solution

The fourth proportional to 832.23, 1,148.45 and 482.93 is: 666.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.23 : 1,148.45 = 482.93 : x
  2. Step 2: Convert to fraction form
    832.23/1,148.45 = 482.93/x
  3. Step 3: Cross multiply
    832.23x = 1,148.45 × 482.93
  4. Step 4: Simplify right side
    832.23x = 554,612.80
  5. Step 5: Solve for x
    x = 554,612.80/832.23
  6. Step 6: Final answer
    x = 666.42

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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.