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Finding the Fourth Proportional to 852.77, 1,176.83 and 503.45

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Solution

The fourth proportional to 852.77, 1,176.83 and 503.45 is: 694.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.77 : 1,176.83 = 503.45 : x
  2. Step 2: Convert to fraction form
    852.77/1,176.83 = 503.45/x
  3. Step 3: Cross multiply
    852.77x = 1,176.83 × 503.45
  4. Step 4: Simplify right side
    852.77x = 592,466.66
  5. Step 5: Solve for x
    x = 592,466.66/852.77
  6. Step 6: Final answer
    x = 694.76

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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.