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Finding the Fourth Proportional to 686.15, 1,030.10 and 589.26

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Solution

The fourth proportional to 686.15, 1,030.10 and 589.26 is: 884.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.15 : 1,030.10 = 589.26 : x
  2. Step 2: Convert to fraction form
    686.15/1,030.10 = 589.26/x
  3. Step 3: Cross multiply
    686.15x = 1,030.10 × 589.26
  4. Step 4: Simplify right side
    686.15x = 606,993.78
  5. Step 5: Solve for x
    x = 606,993.78/686.15
  6. Step 6: Final answer
    x = 884.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.