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Finding the Fourth Proportional to 715.05, 985.64 and 583.83

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Solution

The fourth proportional to 715.05, 985.64 and 583.83 is: 804.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.05 : 985.64 = 583.83 : x
  2. Step 2: Convert to fraction form
    715.05/985.64 = 583.83/x
  3. Step 3: Cross multiply
    715.05x = 985.64 × 583.83
  4. Step 4: Simplify right side
    715.05x = 575,443.28
  5. Step 5: Solve for x
    x = 575,443.28/715.05
  6. Step 6: Final answer
    x = 804.76

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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.