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Finding the Fourth Proportional to 926.84, 1,278.48 and 705.71

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Solution

The fourth proportional to 926.84, 1,278.48 and 705.71 is: 973.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.84 : 1,278.48 = 705.71 : x
  2. Step 2: Convert to fraction form
    926.84/1,278.48 = 705.71/x
  3. Step 3: Cross multiply
    926.84x = 1,278.48 × 705.71
  4. Step 4: Simplify right side
    926.84x = 902,241.96
  5. Step 5: Solve for x
    x = 902,241.96/926.84
  6. Step 6: Final answer
    x = 973.46

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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.