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Finding the Fourth Proportional to 873.61, 1,205.56 and 500.57

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Solution

The fourth proportional to 873.61, 1,205.56 and 500.57 is: 690.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.61 : 1,205.56 = 500.57 : x
  2. Step 2: Convert to fraction form
    873.61/1,205.56 = 500.57/x
  3. Step 3: Cross multiply
    873.61x = 1,205.56 × 500.57
  4. Step 4: Simplify right side
    873.61x = 603,467.17
  5. Step 5: Solve for x
    x = 603,467.17/873.61
  6. Step 6: Final answer
    x = 690.77

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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.