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Finding the Fourth Proportional to 746.35, 1,118.76 and 502.95

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Solution

The fourth proportional to 746.35, 1,118.76 and 502.95 is: 753.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.35 : 1,118.76 = 502.95 : x
  2. Step 2: Convert to fraction form
    746.35/1,118.76 = 502.95/x
  3. Step 3: Cross multiply
    746.35x = 1,118.76 × 502.95
  4. Step 4: Simplify right side
    746.35x = 562,680.34
  5. Step 5: Solve for x
    x = 562,680.34/746.35
  6. Step 6: Final answer
    x = 753.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.