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Finding the Fourth Proportional to 873.59, 1,205.06 and 500.49

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Solution

The fourth proportional to 873.59, 1,205.06 and 500.49 is: 690.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.59 : 1,205.06 = 500.49 : x
  2. Step 2: Convert to fraction form
    873.59/1,205.06 = 500.49/x
  3. Step 3: Cross multiply
    873.59x = 1,205.06 × 500.49
  4. Step 4: Simplify right side
    873.59x = 603,117.98
  5. Step 5: Solve for x
    x = 603,117.98/873.59
  6. Step 6: Final answer
    x = 690.39

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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.