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Finding the Fourth Proportional to 1,001.16, 1,496.81 and 848.79

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Solution

The fourth proportional to 1,001.16, 1,496.81 and 848.79 is: 1,269.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.16 : 1,496.81 = 848.79 : x
  2. Step 2: Convert to fraction form
    1,001.16/1,496.81 = 848.79/x
  3. Step 3: Cross multiply
    1,001.16x = 1,496.81 × 848.79
  4. Step 4: Simplify right side
    1,001.16x = 1,270,477.36
  5. Step 5: Solve for x
    x = 1,270,477.36/1,001.16
  6. Step 6: Final answer
    x = 1,269.01

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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.