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Finding the Fourth Proportional to 1,080.34, 1,490.34 and 638.14

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Solution

The fourth proportional to 1,080.34, 1,490.34 and 638.14 is: 880.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.34 : 1,490.34 = 638.14 : x
  2. Step 2: Convert to fraction form
    1,080.34/1,490.34 = 638.14/x
  3. Step 3: Cross multiply
    1,080.34x = 1,490.34 × 638.14
  4. Step 4: Simplify right side
    1,080.34x = 951,045.57
  5. Step 5: Solve for x
    x = 951,045.57/1,080.34
  6. Step 6: Final answer
    x = 880.32

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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.