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Finding the Fourth Proportional to 856.77, 1,182.36 and 483.76

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Solution

The fourth proportional to 856.77, 1,182.36 and 483.76 is: 667.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.77 : 1,182.36 = 483.76 : x
  2. Step 2: Convert to fraction form
    856.77/1,182.36 = 483.76/x
  3. Step 3: Cross multiply
    856.77x = 1,182.36 × 483.76
  4. Step 4: Simplify right side
    856.77x = 571,981.77
  5. Step 5: Solve for x
    x = 571,981.77/856.77
  6. Step 6: Final answer
    x = 667.61

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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.