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Finding the Fourth Proportional to 738.05, 1,018.47 and 476.06

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Solution

The fourth proportional to 738.05, 1,018.47 and 476.06 is: 656.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.05 : 1,018.47 = 476.06 : x
  2. Step 2: Convert to fraction form
    738.05/1,018.47 = 476.06/x
  3. Step 3: Cross multiply
    738.05x = 1,018.47 × 476.06
  4. Step 4: Simplify right side
    738.05x = 484,851.23
  5. Step 5: Solve for x
    x = 484,851.23/738.05
  6. Step 6: Final answer
    x = 656.94

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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.