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Finding the Fourth Proportional to 1,065.29, 1,598.36 and 480.14

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Solution

The fourth proportional to 1,065.29, 1,598.36 and 480.14 is: 720.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.29 : 1,598.36 = 480.14 : x
  2. Step 2: Convert to fraction form
    1,065.29/1,598.36 = 480.14/x
  3. Step 3: Cross multiply
    1,065.29x = 1,598.36 × 480.14
  4. Step 4: Simplify right side
    1,065.29x = 767,426.18
  5. Step 5: Solve for x
    x = 767,426.18/1,065.29
  6. Step 6: Final answer
    x = 720.39

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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.