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Finding the Fourth Proportional to 1,330.84, 1,994.86 and 464.50

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Solution

The fourth proportional to 1,330.84, 1,994.86 and 464.50 is: 696.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.84 : 1,994.86 = 464.50 : x
  2. Step 2: Convert to fraction form
    1,330.84/1,994.86 = 464.50/x
  3. Step 3: Cross multiply
    1,330.84x = 1,994.86 × 464.50
  4. Step 4: Simplify right side
    1,330.84x = 926,612.47
  5. Step 5: Solve for x
    x = 926,612.47/1,330.84
  6. Step 6: Final answer
    x = 696.26

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Double scale
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Similar ratio
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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.