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Finding the Fourth Proportional to 873.77, 1,310.66 and 410.23

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Solution

The fourth proportional to 873.77, 1,310.66 and 410.23 is: 615.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.77 : 1,310.66 = 410.23 : x
  2. Step 2: Convert to fraction form
    873.77/1,310.66 = 410.23/x
  3. Step 3: Cross multiply
    873.77x = 1,310.66 × 410.23
  4. Step 4: Simplify right side
    873.77x = 537,677.38
  5. Step 5: Solve for x
    x = 537,677.38/873.77
  6. Step 6: Final answer
    x = 615.35

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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.