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Finding the Fourth Proportional to 1,051.82, 1,451.40 and 802.52

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Solution

The fourth proportional to 1,051.82, 1,451.40 and 802.52 is: 1,107.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.82 : 1,451.40 = 802.52 : x
  2. Step 2: Convert to fraction form
    1,051.82/1,451.40 = 802.52/x
  3. Step 3: Cross multiply
    1,051.82x = 1,451.40 × 802.52
  4. Step 4: Simplify right side
    1,051.82x = 1,164,777.53
  5. Step 5: Solve for x
    x = 1,164,777.53/1,051.82
  6. Step 6: Final answer
    x = 1,107.39

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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.