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Finding the Fourth Proportional to 1,495.35, 2,063.61 and 832.25

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Solution

The fourth proportional to 1,495.35, 2,063.61 and 832.25 is: 1,148.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.35 : 2,063.61 = 832.25 : x
  2. Step 2: Convert to fraction form
    1,495.35/2,063.61 = 832.25/x
  3. Step 3: Cross multiply
    1,495.35x = 2,063.61 × 832.25
  4. Step 4: Simplify right side
    1,495.35x = 1,717,444.58
  5. Step 5: Solve for x
    x = 1,717,444.58/1,495.35
  6. Step 6: Final answer
    x = 1,148.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.