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Finding the Fourth Proportional to 1,593.18, 2,390.01 and 497.63

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Solution

The fourth proportional to 1,593.18, 2,390.01 and 497.63 is: 746.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.18 : 2,390.01 = 497.63 : x
  2. Step 2: Convert to fraction form
    1,593.18/2,390.01 = 497.63/x
  3. Step 3: Cross multiply
    1,593.18x = 2,390.01 × 497.63
  4. Step 4: Simplify right side
    1,593.18x = 1,189,328.73
  5. Step 5: Solve for x
    x = 1,189,328.73/1,593.18
  6. Step 6: Final answer
    x = 746.51

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.