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Finding the Fourth Proportional to 776.47, 1,071.53 and 427.16

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Solution

The fourth proportional to 776.47, 1,071.53 and 427.16 is: 589.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.47 : 1,071.53 = 427.16 : x
  2. Step 2: Convert to fraction form
    776.47/1,071.53 = 427.16/x
  3. Step 3: Cross multiply
    776.47x = 1,071.53 × 427.16
  4. Step 4: Simplify right side
    776.47x = 457,710.87
  5. Step 5: Solve for x
    x = 457,710.87/776.47
  6. Step 6: Final answer
    x = 589.48

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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.