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Finding the Fourth Proportional to 1,051.90, 1,451.68 and 586.14

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Solution

The fourth proportional to 1,051.90, 1,451.68 and 586.14 is: 808.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.90 : 1,451.68 = 586.14 : x
  2. Step 2: Convert to fraction form
    1,051.90/1,451.68 = 586.14/x
  3. Step 3: Cross multiply
    1,051.90x = 1,451.68 × 586.14
  4. Step 4: Simplify right side
    1,051.90x = 850,887.72
  5. Step 5: Solve for x
    x = 850,887.72/1,051.90
  6. Step 6: Final answer
    x = 808.91

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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.