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Finding the Fourth Proportional to 927.06, 1,278.78 and 705.63

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Solution

The fourth proportional to 927.06, 1,278.78 and 705.63 is: 973.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.06 : 1,278.78 = 705.63 : x
  2. Step 2: Convert to fraction form
    927.06/1,278.78 = 705.63/x
  3. Step 3: Cross multiply
    927.06x = 1,278.78 × 705.63
  4. Step 4: Simplify right side
    927.06x = 902,345.53
  5. Step 5: Solve for x
    x = 902,345.53/927.06
  6. Step 6: Final answer
    x = 973.34

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1.5x scale

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.