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Finding the Fourth Proportional to 776.23, 1,071.40 and 457.47

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Solution

The fourth proportional to 776.23, 1,071.40 and 457.47 is: 631.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.23 : 1,071.40 = 457.47 : x
  2. Step 2: Convert to fraction form
    776.23/1,071.40 = 457.47/x
  3. Step 3: Cross multiply
    776.23x = 1,071.40 × 457.47
  4. Step 4: Simplify right side
    776.23x = 490,132.21
  5. Step 5: Solve for x
    x = 490,132.21/776.23
  6. Step 6: Final answer
    x = 631.43

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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.