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Finding the Fourth Proportional to 1,005.01, 1,499.60 and 895.39

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Solution

The fourth proportional to 1,005.01, 1,499.60 and 895.39 is: 1,336.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.01 : 1,499.60 = 895.39 : x
  2. Step 2: Convert to fraction form
    1,005.01/1,499.60 = 895.39/x
  3. Step 3: Cross multiply
    1,005.01x = 1,499.60 × 895.39
  4. Step 4: Simplify right side
    1,005.01x = 1,342,726.84
  5. Step 5: Solve for x
    x = 1,342,726.84/1,005.01
  6. Step 6: Final answer
    x = 1,336.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.