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Finding the Fourth Proportional to 741.77, 1,023.18 and 594.75

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Solution

The fourth proportional to 741.77, 1,023.18 and 594.75 is: 820.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.77 : 1,023.18 = 594.75 : x
  2. Step 2: Convert to fraction form
    741.77/1,023.18 = 594.75/x
  3. Step 3: Cross multiply
    741.77x = 1,023.18 × 594.75
  4. Step 4: Simplify right side
    741.77x = 608,536.31
  5. Step 5: Solve for x
    x = 608,536.31/741.77
  6. Step 6: Final answer
    x = 820.38

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Half scale
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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.