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Finding the Fourth Proportional to 873.66, 1,204.26 and 593.82

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Solution

The fourth proportional to 873.66, 1,204.26 and 593.82 is: 818.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.66 : 1,204.26 = 593.82 : x
  2. Step 2: Convert to fraction form
    873.66/1,204.26 = 593.82/x
  3. Step 3: Cross multiply
    873.66x = 1,204.26 × 593.82
  4. Step 4: Simplify right side
    873.66x = 715,113.67
  5. Step 5: Solve for x
    x = 715,113.67/873.66
  6. Step 6: Final answer
    x = 818.53

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Double scale
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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.