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Finding the Fourth Proportional to 1,030.29, 1,421.81 and 588.43

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Solution

The fourth proportional to 1,030.29, 1,421.81 and 588.43 is: 812.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.29 : 1,421.81 = 588.43 : x
  2. Step 2: Convert to fraction form
    1,030.29/1,421.81 = 588.43/x
  3. Step 3: Cross multiply
    1,030.29x = 1,421.81 × 588.43
  4. Step 4: Simplify right side
    1,030.29x = 836,632.72
  5. Step 5: Solve for x
    x = 836,632.72/1,030.29
  6. Step 6: Final answer
    x = 812.04

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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.