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Finding the Fourth Proportional to 1,368.86, 2,053.52 and 444.65

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Solution

The fourth proportional to 1,368.86, 2,053.52 and 444.65 is: 667.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368.86 : 2,053.52 = 444.65 : x
  2. Step 2: Convert to fraction form
    1,368.86/2,053.52 = 444.65/x
  3. Step 3: Cross multiply
    1,368.86x = 2,053.52 × 444.65
  4. Step 4: Simplify right side
    1,368.86x = 913,097.67
  5. Step 5: Solve for x
    x = 913,097.67/1,368.86
  6. Step 6: Final answer
    x = 667.05

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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.