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Finding the Fourth Proportional to 1,051.90, 1,451.66 and 711.68

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Solution

The fourth proportional to 1,051.90, 1,451.66 and 711.68 is: 982.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.90 : 1,451.66 = 711.68 : x
  2. Step 2: Convert to fraction form
    1,051.90/1,451.66 = 711.68/x
  3. Step 3: Cross multiply
    1,051.90x = 1,451.66 × 711.68
  4. Step 4: Simplify right side
    1,051.90x = 1,033,117.39
  5. Step 5: Solve for x
    x = 1,033,117.39/1,051.90
  6. Step 6: Final answer
    x = 982.14

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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.