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Finding the Fourth Proportional to 926.16, 1,277.49 and 552.89

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Solution

The fourth proportional to 926.16, 1,277.49 and 552.89 is: 762.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.16 : 1,277.49 = 552.89 : x
  2. Step 2: Convert to fraction form
    926.16/1,277.49 = 552.89/x
  3. Step 3: Cross multiply
    926.16x = 1,277.49 × 552.89
  4. Step 4: Simplify right side
    926.16x = 706,316.71
  5. Step 5: Solve for x
    x = 706,316.71/926.16
  6. Step 6: Final answer
    x = 762.63

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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.