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Finding the Fourth Proportional to 926.80, 1,277.40 and 705.40

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Solution

The fourth proportional to 926.80, 1,277.40 and 705.40 is: 972.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.80 : 1,277.40 = 705.40 : x
  2. Step 2: Convert to fraction form
    926.80/1,277.40 = 705.40/x
  3. Step 3: Cross multiply
    926.80x = 1,277.40 × 705.40
  4. Step 4: Simplify right side
    926.80x = 901,077.96
  5. Step 5: Solve for x
    x = 901,077.96/926.80
  6. Step 6: Final answer
    x = 972.25

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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.