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Finding the Fourth Proportional to 1,036.57, 1,562.62 and 967.83

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Solution

The fourth proportional to 1,036.57, 1,562.62 and 967.83 is: 1,459.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.57 : 1,562.62 = 967.83 : x
  2. Step 2: Convert to fraction form
    1,036.57/1,562.62 = 967.83/x
  3. Step 3: Cross multiply
    1,036.57x = 1,562.62 × 967.83
  4. Step 4: Simplify right side
    1,036.57x = 1,512,350.51
  5. Step 5: Solve for x
    x = 1,512,350.51/1,036.57
  6. Step 6: Final answer
    x = 1,459.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.