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Finding the Fourth Proportional to 1,153.69, 1,726.41 and 924.04

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Solution

The fourth proportional to 1,153.69, 1,726.41 and 924.04 is: 1,382.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.69 : 1,726.41 = 924.04 : x
  2. Step 2: Convert to fraction form
    1,153.69/1,726.41 = 924.04/x
  3. Step 3: Cross multiply
    1,153.69x = 1,726.41 × 924.04
  4. Step 4: Simplify right side
    1,153.69x = 1,595,271.90
  5. Step 5: Solve for x
    x = 1,595,271.90/1,153.69
  6. Step 6: Final answer
    x = 1,382.76

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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.