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Finding the Fourth Proportional to 688.77, 1,030.56 and 410.10

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Solution

The fourth proportional to 688.77, 1,030.56 and 410.10 is: 613.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.77 : 1,030.56 = 410.10 : x
  2. Step 2: Convert to fraction form
    688.77/1,030.56 = 410.10/x
  3. Step 3: Cross multiply
    688.77x = 1,030.56 × 410.10
  4. Step 4: Simplify right side
    688.77x = 422,632.66
  5. Step 5: Solve for x
    x = 422,632.66/688.77
  6. Step 6: Final answer
    x = 613.60

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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.