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Finding the Fourth Proportional to 1,141.64, 1,712.04 and 556.47

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Solution

The fourth proportional to 1,141.64, 1,712.04 and 556.47 is: 834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.64 : 1,712.04 = 556.47 : x
  2. Step 2: Convert to fraction form
    1,141.64/1,712.04 = 556.47/x
  3. Step 3: Cross multiply
    1,141.64x = 1,712.04 × 556.47
  4. Step 4: Simplify right side
    1,141.64x = 952,696.81
  5. Step 5: Solve for x
    x = 952,696.81/1,141.64
  6. Step 6: Final answer
    x = 834.50

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Double scale
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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.