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Finding the Fourth Proportional to 1,077.14, 1,615.88 and 383.66

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Solution

The fourth proportional to 1,077.14, 1,615.88 and 383.66 is: 575.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.14 : 1,615.88 = 383.66 : x
  2. Step 2: Convert to fraction form
    1,077.14/1,615.88 = 383.66/x
  3. Step 3: Cross multiply
    1,077.14x = 1,615.88 × 383.66
  4. Step 4: Simplify right side
    1,077.14x = 619,946.02
  5. Step 5: Solve for x
    x = 619,946.02/1,077.14
  6. Step 6: Final answer
    x = 575.55

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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.