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Finding the Fourth Proportional to 1,065.84, 1,596.88 and 487.52

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Solution

The fourth proportional to 1,065.84, 1,596.88 and 487.52 is: 730.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.84 : 1,596.88 = 487.52 : x
  2. Step 2: Convert to fraction form
    1,065.84/1,596.88 = 487.52/x
  3. Step 3: Cross multiply
    1,065.84x = 1,596.88 × 487.52
  4. Step 4: Simplify right side
    1,065.84x = 778,510.94
  5. Step 5: Solve for x
    x = 778,510.94/1,065.84
  6. Step 6: Final answer
    x = 730.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.