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Finding the Fourth Proportional to 873.08, 1,310.07 and 410.77

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Solution

The fourth proportional to 873.08, 1,310.07 and 410.77 is: 616.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.08 : 1,310.07 = 410.77 : x
  2. Step 2: Convert to fraction form
    873.08/1,310.07 = 410.77/x
  3. Step 3: Cross multiply
    873.08x = 1,310.07 × 410.77
  4. Step 4: Simplify right side
    873.08x = 538,140.63
  5. Step 5: Solve for x
    x = 538,140.63/873.08
  6. Step 6: Final answer
    x = 616.37

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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.