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Finding the Fourth Proportional to 1,495.16, 2,063.35 and 832.07

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Solution

The fourth proportional to 1,495.16, 2,063.35 and 832.07 is: 1,148.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.16 : 2,063.35 = 832.07 : x
  2. Step 2: Convert to fraction form
    1,495.16/2,063.35 = 832.07/x
  3. Step 3: Cross multiply
    1,495.16x = 2,063.35 × 832.07
  4. Step 4: Simplify right side
    1,495.16x = 1,716,851.63
  5. Step 5: Solve for x
    x = 1,716,851.63/1,495.16
  6. Step 6: Final answer
    x = 1,148.28

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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.