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Finding the Fourth Proportional to 776.41, 1,071.48 and 444.91

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Solution

The fourth proportional to 776.41, 1,071.48 and 444.91 is: 614.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.41 : 1,071.48 = 444.91 : x
  2. Step 2: Convert to fraction form
    776.41/1,071.48 = 444.91/x
  3. Step 3: Cross multiply
    776.41x = 1,071.48 × 444.91
  4. Step 4: Simplify right side
    776.41x = 476,712.17
  5. Step 5: Solve for x
    x = 476,712.17/776.41
  6. Step 6: Final answer
    x = 614.00

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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.