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Finding the Fourth Proportional to 1,004.16, 1,506.96 and 841.92

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Solution

The fourth proportional to 1,004.16, 1,506.96 and 841.92 is: 1,263.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.16 : 1,506.96 = 841.92 : x
  2. Step 2: Convert to fraction form
    1,004.16/1,506.96 = 841.92/x
  3. Step 3: Cross multiply
    1,004.16x = 1,506.96 × 841.92
  4. Step 4: Simplify right side
    1,004.16x = 1,268,739.76
  5. Step 5: Solve for x
    x = 1,268,739.76/1,004.16
  6. Step 6: Final answer
    x = 1,263.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.