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Finding the Fourth Proportional to 1,357.40, 2,036.41 and 491.71

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Solution

The fourth proportional to 1,357.40, 2,036.41 and 491.71 is: 737.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.40 : 2,036.41 = 491.71 : x
  2. Step 2: Convert to fraction form
    1,357.40/2,036.41 = 491.71/x
  3. Step 3: Cross multiply
    1,357.40x = 2,036.41 × 491.71
  4. Step 4: Simplify right side
    1,357.40x = 1,001,323.16
  5. Step 5: Solve for x
    x = 1,001,323.16/1,357.40
  6. Step 6: Final answer
    x = 737.68

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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.