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Finding the Fourth Proportional to 926.76, 1,278.95 and 507.14

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Solution

The fourth proportional to 926.76, 1,278.95 and 507.14 is: 699.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.76 : 1,278.95 = 507.14 : x
  2. Step 2: Convert to fraction form
    926.76/1,278.95 = 507.14/x
  3. Step 3: Cross multiply
    926.76x = 1,278.95 × 507.14
  4. Step 4: Simplify right side
    926.76x = 648,601.58
  5. Step 5: Solve for x
    x = 648,601.58/926.76
  6. Step 6: Final answer
    x = 699.86

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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.