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Finding the Fourth Proportional to 1,030.96, 1,422.82 and 588.86

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Solution

The fourth proportional to 1,030.96, 1,422.82 and 588.86 is: 812.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.96 : 1,422.82 = 588.86 : x
  2. Step 2: Convert to fraction form
    1,030.96/1,422.82 = 588.86/x
  3. Step 3: Cross multiply
    1,030.96x = 1,422.82 × 588.86
  4. Step 4: Simplify right side
    1,030.96x = 837,841.79
  5. Step 5: Solve for x
    x = 837,841.79/1,030.96
  6. Step 6: Final answer
    x = 812.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.