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Finding the Fourth Proportional to 795.49, 1,193.03 and 535.34

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Solution

The fourth proportional to 795.49, 1,193.03 and 535.34 is: 802.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.49 : 1,193.03 = 535.34 : x
  2. Step 2: Convert to fraction form
    795.49/1,193.03 = 535.34/x
  3. Step 3: Cross multiply
    795.49x = 1,193.03 × 535.34
  4. Step 4: Simplify right side
    795.49x = 638,674.00
  5. Step 5: Solve for x
    x = 638,674.00/795.49
  6. Step 6: Final answer
    x = 802.87

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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.