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Finding the Fourth Proportional to 1,065.76, 1,598.49 and 416.44

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Solution

The fourth proportional to 1,065.76, 1,598.49 and 416.44 is: 624.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.76 : 1,598.49 = 416.44 : x
  2. Step 2: Convert to fraction form
    1,065.76/1,598.49 = 416.44/x
  3. Step 3: Cross multiply
    1,065.76x = 1,598.49 × 416.44
  4. Step 4: Simplify right side
    1,065.76x = 665,675.18
  5. Step 5: Solve for x
    x = 665,675.18/1,065.76
  6. Step 6: Final answer
    x = 624.60

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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.