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Finding the Fourth Proportional to 688.87, 1,030.70 and 410.19

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Solution

The fourth proportional to 688.87, 1,030.70 and 410.19 is: 613.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.87 : 1,030.70 = 410.19 : x
  2. Step 2: Convert to fraction form
    688.87/1,030.70 = 410.19/x
  3. Step 3: Cross multiply
    688.87x = 1,030.70 × 410.19
  4. Step 4: Simplify right side
    688.87x = 422,783.86
  5. Step 5: Solve for x
    x = 422,783.86/688.87
  6. Step 6: Final answer
    x = 613.74

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Why These Related Problems?

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