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Finding the Fourth Proportional to 1,189.58, 1,641.80 and 909.27

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Solution

The fourth proportional to 1,189.58, 1,641.80 and 909.27 is: 1,254.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.58 : 1,641.80 = 909.27 : x
  2. Step 2: Convert to fraction form
    1,189.58/1,641.80 = 909.27/x
  3. Step 3: Cross multiply
    1,189.58x = 1,641.80 × 909.27
  4. Step 4: Simplify right side
    1,189.58x = 1,492,841.76
  5. Step 5: Solve for x
    x = 1,492,841.76/1,189.58
  6. Step 6: Final answer
    x = 1,254.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.