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Finding the Fourth Proportional to 926.07, 1,277.93 and 533.16

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Solution

The fourth proportional to 926.07, 1,277.93 and 533.16 is: 735.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.07 : 1,277.93 = 533.16 : x
  2. Step 2: Convert to fraction form
    926.07/1,277.93 = 533.16/x
  3. Step 3: Cross multiply
    926.07x = 1,277.93 × 533.16
  4. Step 4: Simplify right side
    926.07x = 681,336.10
  5. Step 5: Solve for x
    x = 681,336.10/926.07
  6. Step 6: Final answer
    x = 735.73

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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.