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Finding the Fourth Proportional to 848.14, 1,170.22 and 498.76

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Solution

The fourth proportional to 848.14, 1,170.22 and 498.76 is: 688.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.14 : 1,170.22 = 498.76 : x
  2. Step 2: Convert to fraction form
    848.14/1,170.22 = 498.76/x
  3. Step 3: Cross multiply
    848.14x = 1,170.22 × 498.76
  4. Step 4: Simplify right side
    848.14x = 583,658.93
  5. Step 5: Solve for x
    x = 583,658.93/848.14
  6. Step 6: Final answer
    x = 688.16

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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.