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Finding the Fourth Proportional to 1,065.29, 1,598.39 and 578.69

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Solution

The fourth proportional to 1,065.29, 1,598.39 and 578.69 is: 868.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.29 : 1,598.39 = 578.69 : x
  2. Step 2: Convert to fraction form
    1,065.29/1,598.39 = 578.69/x
  3. Step 3: Cross multiply
    1,065.29x = 1,598.39 × 578.69
  4. Step 4: Simplify right side
    1,065.29x = 924,972.31
  5. Step 5: Solve for x
    x = 924,972.31/1,065.29
  6. Step 6: Final answer
    x = 868.28

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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.