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Finding the Fourth Proportional to 1,065.12, 1,596 and 578.04

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Solution

The fourth proportional to 1,065.12, 1,596 and 578.04 is: 866.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.12 : 1,596 = 578.04 : x
  2. Step 2: Convert to fraction form
    1,065.12/1,596 = 578.04/x
  3. Step 3: Cross multiply
    1,065.12x = 1,596 × 578.04
  4. Step 4: Simplify right side
    1,065.12x = 922,551.84
  5. Step 5: Solve for x
    x = 922,551.84/1,065.12
  6. Step 6: Final answer
    x = 866.15

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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.