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Finding the Fourth Proportional to 753.56, 1,130.34 and 497

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Solution

The fourth proportional to 753.56, 1,130.34 and 497 is: 745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.56 : 1,130.34 = 497 : x
  2. Step 2: Convert to fraction form
    753.56/1,130.34 = 497/x
  3. Step 3: Cross multiply
    753.56x = 1,130.34 × 497
  4. Step 4: Simplify right side
    753.56x = 561,778.98
  5. Step 5: Solve for x
    x = 561,778.98/753.56
  6. Step 6: Final answer
    x = 745.50

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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.