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Finding the Fourth Proportional to 1,477.56, 2,039.06 and 848.16

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Solution

The fourth proportional to 1,477.56, 2,039.06 and 848.16 is: 1,170.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,477.56 : 2,039.06 = 848.16 : x
  2. Step 2: Convert to fraction form
    1,477.56/2,039.06 = 848.16/x
  3. Step 3: Cross multiply
    1,477.56x = 2,039.06 × 848.16
  4. Step 4: Simplify right side
    1,477.56x = 1,729,449.13
  5. Step 5: Solve for x
    x = 1,729,449.13/1,477.56
  6. Step 6: Final answer
    x = 1,170.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.