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Finding the Fourth Proportional to 1,003.71, 1,495.50 and 894.58

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Solution

The fourth proportional to 1,003.71, 1,495.50 and 894.58 is: 1,332.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.71 : 1,495.50 = 894.58 : x
  2. Step 2: Convert to fraction form
    1,003.71/1,495.50 = 894.58/x
  3. Step 3: Cross multiply
    1,003.71x = 1,495.50 × 894.58
  4. Step 4: Simplify right side
    1,003.71x = 1,337,842.15
  5. Step 5: Solve for x
    x = 1,337,842.15/1,003.71
  6. Step 6: Final answer
    x = 1,332.90

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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.