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Finding the Fourth Proportional to 836.78, 1,154.76 and 505.14

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Solution

The fourth proportional to 836.78, 1,154.76 and 505.14 is: 697.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.78 : 1,154.76 = 505.14 : x
  2. Step 2: Convert to fraction form
    836.78/1,154.76 = 505.14/x
  3. Step 3: Cross multiply
    836.78x = 1,154.76 × 505.14
  4. Step 4: Simplify right side
    836.78x = 583,315.74
  5. Step 5: Solve for x
    x = 583,315.74/836.78
  6. Step 6: Final answer
    x = 697.10

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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.