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Finding the Fourth Proportional to 926.42, 1,275.86 and 857.16

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Solution

The fourth proportional to 926.42, 1,275.86 and 857.16 is: 1,180.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.42 : 1,275.86 = 857.16 : x
  2. Step 2: Convert to fraction form
    926.42/1,275.86 = 857.16/x
  3. Step 3: Cross multiply
    926.42x = 1,275.86 × 857.16
  4. Step 4: Simplify right side
    926.42x = 1,093,618.30
  5. Step 5: Solve for x
    x = 1,093,618.30/926.42
  6. Step 6: Final answer
    x = 1,180.48

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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.