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Finding the Fourth Proportional to 873.93, 1,310.46 and 508.83

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Solution

The fourth proportional to 873.93, 1,310.46 and 508.83 is: 762.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.93 : 1,310.46 = 508.83 : x
  2. Step 2: Convert to fraction form
    873.93/1,310.46 = 508.83/x
  3. Step 3: Cross multiply
    873.93x = 1,310.46 × 508.83
  4. Step 4: Simplify right side
    873.93x = 666,801.36
  5. Step 5: Solve for x
    x = 666,801.36/873.93
  6. Step 6: Final answer
    x = 762.99

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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.