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Finding the Fourth Proportional to 1,095.42, 1,644.75 and 1,063.02

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Solution

The fourth proportional to 1,095.42, 1,644.75 and 1,063.02 is: 1,596.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.42 : 1,644.75 = 1,063.02 : x
  2. Step 2: Convert to fraction form
    1,095.42/1,644.75 = 1,063.02/x
  3. Step 3: Cross multiply
    1,095.42x = 1,644.75 × 1,063.02
  4. Step 4: Simplify right side
    1,095.42x = 1,748,402.15
  5. Step 5: Solve for x
    x = 1,748,402.15/1,095.42
  6. Step 6: Final answer
    x = 1,596.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.