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Finding the Fourth Proportional to 1,065.98, 1,596.65 and 578

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Solution

The fourth proportional to 1,065.98, 1,596.65 and 578 is: 865.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.98 : 1,596.65 = 578 : x
  2. Step 2: Convert to fraction form
    1,065.98/1,596.65 = 578/x
  3. Step 3: Cross multiply
    1,065.98x = 1,596.65 × 578
  4. Step 4: Simplify right side
    1,065.98x = 922,863.70
  5. Step 5: Solve for x
    x = 922,863.70/1,065.98
  6. Step 6: Final answer
    x = 865.74

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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.