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Finding the Fourth Proportional to 785.15, 1,178.12 and 374.21

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Solution

The fourth proportional to 785.15, 1,178.12 and 374.21 is: 561.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.15 : 1,178.12 = 374.21 : x
  2. Step 2: Convert to fraction form
    785.15/1,178.12 = 374.21/x
  3. Step 3: Cross multiply
    785.15x = 1,178.12 × 374.21
  4. Step 4: Simplify right side
    785.15x = 440,864.29
  5. Step 5: Solve for x
    x = 440,864.29/785.15
  6. Step 6: Final answer
    x = 561.50

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.