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Finding the Fourth Proportional to 873.95, 1,310.00 and 566.01

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Solution

The fourth proportional to 873.95, 1,310.00 and 566.01 is: 848.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.95 : 1,310.00 = 566.01 : x
  2. Step 2: Convert to fraction form
    873.95/1,310.00 = 566.01/x
  3. Step 3: Cross multiply
    873.95x = 1,310.00 × 566.01
  4. Step 4: Simplify right side
    873.95x = 741,470.27
  5. Step 5: Solve for x
    x = 741,470.27/873.95
  6. Step 6: Final answer
    x = 848.42

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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.