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Finding the Fourth Proportional to 832.71, 1,148.93 and 518.13

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Solution

The fourth proportional to 832.71, 1,148.93 and 518.13 is: 714.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.71 : 1,148.93 = 518.13 : x
  2. Step 2: Convert to fraction form
    832.71/1,148.93 = 518.13/x
  3. Step 3: Cross multiply
    832.71x = 1,148.93 × 518.13
  4. Step 4: Simplify right side
    832.71x = 595,292.51
  5. Step 5: Solve for x
    x = 595,292.51/832.71
  6. Step 6: Final answer
    x = 714.89

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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.