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Finding the Fourth Proportional to 1,019.34, 1,529.01 and 288.91

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Solution

The fourth proportional to 1,019.34, 1,529.01 and 288.91 is: 433.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.34 : 1,529.01 = 288.91 : x
  2. Step 2: Convert to fraction form
    1,019.34/1,529.01 = 288.91/x
  3. Step 3: Cross multiply
    1,019.34x = 1,529.01 × 288.91
  4. Step 4: Simplify right side
    1,019.34x = 441,748.19
  5. Step 5: Solve for x
    x = 441,748.19/1,019.34
  6. Step 6: Final answer
    x = 433.37

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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.