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Finding the Fourth Proportional to 1,313.70, 1,968.85 and 532.79

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Solution

The fourth proportional to 1,313.70, 1,968.85 and 532.79 is: 798.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.70 : 1,968.85 = 532.79 : x
  2. Step 2: Convert to fraction form
    1,313.70/1,968.85 = 532.79/x
  3. Step 3: Cross multiply
    1,313.70x = 1,968.85 × 532.79
  4. Step 4: Simplify right side
    1,313.70x = 1,048,987.18
  5. Step 5: Solve for x
    x = 1,048,987.18/1,313.70
  6. Step 6: Final answer
    x = 798.50

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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.