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Finding the Fourth Proportional to 1,065.14, 1,597.72 and 415.88

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Solution

The fourth proportional to 1,065.14, 1,597.72 and 415.88 is: 623.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.14 : 1,597.72 = 415.88 : x
  2. Step 2: Convert to fraction form
    1,065.14/1,597.72 = 415.88/x
  3. Step 3: Cross multiply
    1,065.14x = 1,597.72 × 415.88
  4. Step 4: Simplify right side
    1,065.14x = 664,459.79
  5. Step 5: Solve for x
    x = 664,459.79/1,065.14
  6. Step 6: Final answer
    x = 623.82

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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.