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Finding the Fourth Proportional to 1,203.86, 1,805.79 and 657.11

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Solution

The fourth proportional to 1,203.86, 1,805.79 and 657.11 is: 985.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.86 : 1,805.79 = 657.11 : x
  2. Step 2: Convert to fraction form
    1,203.86/1,805.79 = 657.11/x
  3. Step 3: Cross multiply
    1,203.86x = 1,805.79 × 657.11
  4. Step 4: Simplify right side
    1,203.86x = 1,186,602.67
  5. Step 5: Solve for x
    x = 1,186,602.67/1,203.86
  6. Step 6: Final answer
    x = 985.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.