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Finding the Fourth Proportional to 825.34, 1,139.53 and 526.76

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Solution

The fourth proportional to 825.34, 1,139.53 and 526.76 is: 727.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.34 : 1,139.53 = 526.76 : x
  2. Step 2: Convert to fraction form
    825.34/1,139.53 = 526.76/x
  3. Step 3: Cross multiply
    825.34x = 1,139.53 × 526.76
  4. Step 4: Simplify right side
    825.34x = 600,258.82
  5. Step 5: Solve for x
    x = 600,258.82/825.34
  6. Step 6: Final answer
    x = 727.29

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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.