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Finding the Fourth Proportional to 1,071.92, 1,477.08 and 1,004.96

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Solution

The fourth proportional to 1,071.92, 1,477.08 and 1,004.96 is: 1,384.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,071.92 : 1,477.08 = 1,004.96 : x
  2. Step 2: Convert to fraction form
    1,071.92/1,477.08 = 1,004.96/x
  3. Step 3: Cross multiply
    1,071.92x = 1,477.08 × 1,004.96
  4. Step 4: Simplify right side
    1,071.92x = 1,484,406.32
  5. Step 5: Solve for x
    x = 1,484,406.32/1,071.92
  6. Step 6: Final answer
    x = 1,384.81

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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.