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Finding the Fourth Proportional to 1,021.19, 1,532.21 and 534.56

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Solution

The fourth proportional to 1,021.19, 1,532.21 and 534.56 is: 802.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.19 : 1,532.21 = 534.56 : x
  2. Step 2: Convert to fraction form
    1,021.19/1,532.21 = 534.56/x
  3. Step 3: Cross multiply
    1,021.19x = 1,532.21 × 534.56
  4. Step 4: Simplify right side
    1,021.19x = 819,047.84
  5. Step 5: Solve for x
    x = 819,047.84/1,021.19
  6. Step 6: Final answer
    x = 802.06

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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.