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Finding the Fourth Proportional to 1,065.08, 1,597.80 and 415.64

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Solution

The fourth proportional to 1,065.08, 1,597.80 and 415.64 is: 623.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.08 : 1,597.80 = 415.64 : x
  2. Step 2: Convert to fraction form
    1,065.08/1,597.80 = 415.64/x
  3. Step 3: Cross multiply
    1,065.08x = 1,597.80 × 415.64
  4. Step 4: Simplify right side
    1,065.08x = 664,109.59
  5. Step 5: Solve for x
    x = 664,109.59/1,065.08
  6. Step 6: Final answer
    x = 623.53

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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.