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Finding the Fourth Proportional to 738.76, 1,018.81 and 503.06

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Solution

The fourth proportional to 738.76, 1,018.81 and 503.06 is: 693.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.76 : 1,018.81 = 503.06 : x
  2. Step 2: Convert to fraction form
    738.76/1,018.81 = 503.06/x
  3. Step 3: Cross multiply
    738.76x = 1,018.81 × 503.06
  4. Step 4: Simplify right side
    738.76x = 512,522.56
  5. Step 5: Solve for x
    x = 512,522.56/738.76
  6. Step 6: Final answer
    x = 693.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.