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Finding the Fourth Proportional to 1,051.67, 1,451.37 and 585.92

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Solution

The fourth proportional to 1,051.67, 1,451.37 and 585.92 is: 808.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.67 : 1,451.37 = 585.92 : x
  2. Step 2: Convert to fraction form
    1,051.67/1,451.37 = 585.92/x
  3. Step 3: Cross multiply
    1,051.67x = 1,451.37 × 585.92
  4. Step 4: Simplify right side
    1,051.67x = 850,386.71
  5. Step 5: Solve for x
    x = 850,386.71/1,051.67
  6. Step 6: Final answer
    x = 808.61

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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.