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Finding the Fourth Proportional to 897.83, 1,238.92 and 524.76

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Solution

The fourth proportional to 897.83, 1,238.92 and 524.76 is: 724.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.83 : 1,238.92 = 524.76 : x
  2. Step 2: Convert to fraction form
    897.83/1,238.92 = 524.76/x
  3. Step 3: Cross multiply
    897.83x = 1,238.92 × 524.76
  4. Step 4: Simplify right side
    897.83x = 650,135.66
  5. Step 5: Solve for x
    x = 650,135.66/897.83
  6. Step 6: Final answer
    x = 724.12

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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.