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Finding the Fourth Proportional to 1,065.72, 1,598.58 and 407.73

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Solution

The fourth proportional to 1,065.72, 1,598.58 and 407.73 is: 611.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.72 : 1,598.58 = 407.73 : x
  2. Step 2: Convert to fraction form
    1,065.72/1,598.58 = 407.73/x
  3. Step 3: Cross multiply
    1,065.72x = 1,598.58 × 407.73
  4. Step 4: Simplify right side
    1,065.72x = 651,789.02
  5. Step 5: Solve for x
    x = 651,789.02/1,065.72
  6. Step 6: Final answer
    x = 611.60

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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.