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Finding the Fourth Proportional to 1,003.96, 1,386.66 and 807.16

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Solution

The fourth proportional to 1,003.96, 1,386.66 and 807.16 is: 1,114.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.96 : 1,386.66 = 807.16 : x
  2. Step 2: Convert to fraction form
    1,003.96/1,386.66 = 807.16/x
  3. Step 3: Cross multiply
    1,003.96x = 1,386.66 × 807.16
  4. Step 4: Simplify right side
    1,003.96x = 1,119,256.49
  5. Step 5: Solve for x
    x = 1,119,256.49/1,003.96
  6. Step 6: Final answer
    x = 1,114.84

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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.