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Finding the Fourth Proportional to 746.32, 1,118.34 and 501.94

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Solution

The fourth proportional to 746.32, 1,118.34 and 501.94 is: 752.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.32 : 1,118.34 = 501.94 : x
  2. Step 2: Convert to fraction form
    746.32/1,118.34 = 501.94/x
  3. Step 3: Cross multiply
    746.32x = 1,118.34 × 501.94
  4. Step 4: Simplify right side
    746.32x = 561,339.58
  5. Step 5: Solve for x
    x = 561,339.58/746.32
  6. Step 6: Final answer
    x = 752.14

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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.