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Finding the Fourth Proportional to 1,154.69, 1,731 and 424.10

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Solution

The fourth proportional to 1,154.69, 1,731 and 424.10 is: 635.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.69 : 1,731 = 424.10 : x
  2. Step 2: Convert to fraction form
    1,154.69/1,731 = 424.10/x
  3. Step 3: Cross multiply
    1,154.69x = 1,731 × 424.10
  4. Step 4: Simplify right side
    1,154.69x = 734,108.45
  5. Step 5: Solve for x
    x = 734,108.45/1,154.69
  6. Step 6: Final answer
    x = 635.77

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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.