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Finding the Fourth Proportional to 1,019.19, 1,528.86 and 288.82

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Solution

The fourth proportional to 1,019.19, 1,528.86 and 288.82 is: 433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.19 : 1,528.86 = 288.82 : x
  2. Step 2: Convert to fraction form
    1,019.19/1,528.86 = 288.82/x
  3. Step 3: Cross multiply
    1,019.19x = 1,528.86 × 288.82
  4. Step 4: Simplify right side
    1,019.19x = 441,566.71
  5. Step 5: Solve for x
    x = 441,566.71/1,019.19
  6. Step 6: Final answer
    x = 433.25

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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.