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Finding the Fourth Proportional to 873.54, 1,309.10 and 462.52

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Solution

The fourth proportional to 873.54, 1,309.10 and 462.52 is: 693.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.54 : 1,309.10 = 462.52 : x
  2. Step 2: Convert to fraction form
    873.54/1,309.10 = 462.52/x
  3. Step 3: Cross multiply
    873.54x = 1,309.10 × 462.52
  4. Step 4: Simplify right side
    873.54x = 605,484.93
  5. Step 5: Solve for x
    x = 605,484.93/873.54
  6. Step 6: Final answer
    x = 693.14

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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.