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Finding the Fourth Proportional to 873.53, 1,309.15 and 410.68

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Solution

The fourth proportional to 873.53, 1,309.15 and 410.68 is: 615.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.53 : 1,309.15 = 410.68 : x
  2. Step 2: Convert to fraction form
    873.53/1,309.15 = 410.68/x
  3. Step 3: Cross multiply
    873.53x = 1,309.15 × 410.68
  4. Step 4: Simplify right side
    873.53x = 537,645.14
  5. Step 5: Solve for x
    x = 537,645.14/873.53
  6. Step 6: Final answer
    x = 615.48

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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.