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Finding the Fourth Proportional to 1,065.34, 1,597.47 and 415.90

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Solution

The fourth proportional to 1,065.34, 1,597.47 and 415.90 is: 623.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.34 : 1,597.47 = 415.90 : x
  2. Step 2: Convert to fraction form
    1,065.34/1,597.47 = 415.90/x
  3. Step 3: Cross multiply
    1,065.34x = 1,597.47 × 415.90
  4. Step 4: Simplify right side
    1,065.34x = 664,387.77
  5. Step 5: Solve for x
    x = 664,387.77/1,065.34
  6. Step 6: Final answer
    x = 623.64

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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.