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Finding the Fourth Proportional to 935.22, 1,290.07 and 585.30

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Solution

The fourth proportional to 935.22, 1,290.07 and 585.30 is: 807.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.22 : 1,290.07 = 585.30 : x
  2. Step 2: Convert to fraction form
    935.22/1,290.07 = 585.30/x
  3. Step 3: Cross multiply
    935.22x = 1,290.07 × 585.30
  4. Step 4: Simplify right side
    935.22x = 755,077.97
  5. Step 5: Solve for x
    x = 755,077.97/935.22
  6. Step 6: Final answer
    x = 807.38

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Double scale
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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.