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Finding the Fourth Proportional to 1,495.42, 2,063.58 and 832.24

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Solution

The fourth proportional to 1,495.42, 2,063.58 and 832.24 is: 1,148.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.42 : 2,063.58 = 832.24 : x
  2. Step 2: Convert to fraction form
    1,495.42/2,063.58 = 832.24/x
  3. Step 3: Cross multiply
    1,495.42x = 2,063.58 × 832.24
  4. Step 4: Simplify right side
    1,495.42x = 1,717,393.82
  5. Step 5: Solve for x
    x = 1,717,393.82/1,495.42
  6. Step 6: Final answer
    x = 1,148.44

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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.