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Finding the Fourth Proportional to 761.70, 1,050.48 and 553.26

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Solution

The fourth proportional to 761.70, 1,050.48 and 553.26 is: 763.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.70 : 1,050.48 = 553.26 : x
  2. Step 2: Convert to fraction form
    761.70/1,050.48 = 553.26/x
  3. Step 3: Cross multiply
    761.70x = 1,050.48 × 553.26
  4. Step 4: Simplify right side
    761.70x = 581,188.56
  5. Step 5: Solve for x
    x = 581,188.56/761.70
  6. Step 6: Final answer
    x = 763.02

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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.