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Finding the Fourth Proportional to 1,036.82, 1,430.92 and 594.64

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Solution

The fourth proportional to 1,036.82, 1,430.92 and 594.64 is: 820.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.82 : 1,430.92 = 594.64 : x
  2. Step 2: Convert to fraction form
    1,036.82/1,430.92 = 594.64/x
  3. Step 3: Cross multiply
    1,036.82x = 1,430.92 × 594.64
  4. Step 4: Simplify right side
    1,036.82x = 850,882.27
  5. Step 5: Solve for x
    x = 850,882.27/1,036.82
  6. Step 6: Final answer
    x = 820.67

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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.