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Finding the Fourth Proportional to 1,095.63, 1,640.82 and 607.47

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Solution

The fourth proportional to 1,095.63, 1,640.82 and 607.47 is: 909.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.63 : 1,640.82 = 607.47 : x
  2. Step 2: Convert to fraction form
    1,095.63/1,640.82 = 607.47/x
  3. Step 3: Cross multiply
    1,095.63x = 1,640.82 × 607.47
  4. Step 4: Simplify right side
    1,095.63x = 996,748.93
  5. Step 5: Solve for x
    x = 996,748.93/1,095.63
  6. Step 6: Final answer
    x = 909.75

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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.