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Finding the Fourth Proportional to 873.57, 1,205.19 and 500.47

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Solution

The fourth proportional to 873.57, 1,205.19 and 500.47 is: 690.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.57 : 1,205.19 = 500.47 : x
  2. Step 2: Convert to fraction form
    873.57/1,205.19 = 500.47/x
  3. Step 3: Cross multiply
    873.57x = 1,205.19 × 500.47
  4. Step 4: Simplify right side
    873.57x = 603,154.27
  5. Step 5: Solve for x
    x = 603,154.27/873.57
  6. Step 6: Final answer
    x = 690.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.