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Finding the Fourth Proportional to 1,495.75, 2,064.18 and 832.54

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Solution

The fourth proportional to 1,495.75, 2,064.18 and 832.54 is: 1,148.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.75 : 2,064.18 = 832.54 : x
  2. Step 2: Convert to fraction form
    1,495.75/2,064.18 = 832.54/x
  3. Step 3: Cross multiply
    1,495.75x = 2,064.18 × 832.54
  4. Step 4: Simplify right side
    1,495.75x = 1,718,512.42
  5. Step 5: Solve for x
    x = 1,718,512.42/1,495.75
  6. Step 6: Final answer
    x = 1,148.93

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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.