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Finding the Fourth Proportional to 1,313.83, 1,970.71 and 533.63

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Solution

The fourth proportional to 1,313.83, 1,970.71 and 533.63 is: 800.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,313.83 : 1,970.71 = 533.63 : x
  2. Step 2: Convert to fraction form
    1,313.83/1,970.71 = 533.63/x
  3. Step 3: Cross multiply
    1,313.83x = 1,970.71 × 533.63
  4. Step 4: Simplify right side
    1,313.83x = 1,051,629.98
  5. Step 5: Solve for x
    x = 1,051,629.98/1,313.83
  6. Step 6: Final answer
    x = 800.43

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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.