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Finding the Fourth Proportional to 1,357.43, 2,036.46 and 577.46

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Solution

The fourth proportional to 1,357.43, 2,036.46 and 577.46 is: 866.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.43 : 2,036.46 = 577.46 : x
  2. Step 2: Convert to fraction form
    1,357.43/2,036.46 = 577.46/x
  3. Step 3: Cross multiply
    1,357.43x = 2,036.46 × 577.46
  4. Step 4: Simplify right side
    1,357.43x = 1,175,971.30
  5. Step 5: Solve for x
    x = 1,175,971.30/1,357.43
  6. Step 6: Final answer
    x = 866.32

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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.