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Finding the Fourth Proportional to 1,309.95, 1,964.48 and 529.76

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Solution

The fourth proportional to 1,309.95, 1,964.48 and 529.76 is: 794.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.95 : 1,964.48 = 529.76 : x
  2. Step 2: Convert to fraction form
    1,309.95/1,964.48 = 529.76/x
  3. Step 3: Cross multiply
    1,309.95x = 1,964.48 × 529.76
  4. Step 4: Simplify right side
    1,309.95x = 1,040,690.45
  5. Step 5: Solve for x
    x = 1,040,690.45/1,309.95
  6. Step 6: Final answer
    x = 794.45

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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.