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Finding the Fourth Proportional to 1,051.74, 1,452.36 and 679.58

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Solution

The fourth proportional to 1,051.74, 1,452.36 and 679.58 is: 938.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.74 : 1,452.36 = 679.58 : x
  2. Step 2: Convert to fraction form
    1,051.74/1,452.36 = 679.58/x
  3. Step 3: Cross multiply
    1,051.74x = 1,452.36 × 679.58
  4. Step 4: Simplify right side
    1,051.74x = 986,994.81
  5. Step 5: Solve for x
    x = 986,994.81/1,051.74
  6. Step 6: Final answer
    x = 938.44

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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.