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Finding the Fourth Proportional to 1,077.07, 1,615.61 and 297.08

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Solution

The fourth proportional to 1,077.07, 1,615.61 and 297.08 is: 445.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077.07 : 1,615.61 = 297.08 : x
  2. Step 2: Convert to fraction form
    1,077.07/1,615.61 = 297.08/x
  3. Step 3: Cross multiply
    1,077.07x = 1,615.61 × 297.08
  4. Step 4: Simplify right side
    1,077.07x = 479,955.86
  5. Step 5: Solve for x
    x = 479,955.86/1,077.07
  6. Step 6: Final answer
    x = 445.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.