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Finding the Fourth Proportional to 1,132.61, 1,698.74 and 310.89

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Solution

The fourth proportional to 1,132.61, 1,698.74 and 310.89 is: 466.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.61 : 1,698.74 = 310.89 : x
  2. Step 2: Convert to fraction form
    1,132.61/1,698.74 = 310.89/x
  3. Step 3: Cross multiply
    1,132.61x = 1,698.74 × 310.89
  4. Step 4: Simplify right side
    1,132.61x = 528,119.72
  5. Step 5: Solve for x
    x = 528,119.72/1,132.61
  6. Step 6: Final answer
    x = 466.29

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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.