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Finding the Fourth Proportional to 1,228.64, 1,842.98 and 534.83

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Solution

The fourth proportional to 1,228.64, 1,842.98 and 534.83 is: 802.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.64 : 1,842.98 = 534.83 : x
  2. Step 2: Convert to fraction form
    1,228.64/1,842.98 = 534.83/x
  3. Step 3: Cross multiply
    1,228.64x = 1,842.98 × 534.83
  4. Step 4: Simplify right side
    1,228.64x = 985,673.12
  5. Step 5: Solve for x
    x = 985,673.12/1,228.64
  6. Step 6: Final answer
    x = 802.25

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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.