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Finding the Fourth Proportional to 1,495.20, 2,063.28 and 832.08

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Solution

The fourth proportional to 1,495.20, 2,063.28 and 832.08 is: 1,148.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.20 : 2,063.28 = 832.08 : x
  2. Step 2: Convert to fraction form
    1,495.20/2,063.28 = 832.08/x
  3. Step 3: Cross multiply
    1,495.20x = 2,063.28 × 832.08
  4. Step 4: Simplify right side
    1,495.20x = 1,716,814.02
  5. Step 5: Solve for x
    x = 1,716,814.02/1,495.20
  6. Step 6: Final answer
    x = 1,148.22

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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.