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Finding the Fourth Proportional to 1,019.71, 1,529.76 and 434.70

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Solution

The fourth proportional to 1,019.71, 1,529.76 and 434.70 is: 652.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.71 : 1,529.76 = 434.70 : x
  2. Step 2: Convert to fraction form
    1,019.71/1,529.76 = 434.70/x
  3. Step 3: Cross multiply
    1,019.71x = 1,529.76 × 434.70
  4. Step 4: Simplify right side
    1,019.71x = 664,992.13
  5. Step 5: Solve for x
    x = 664,992.13/1,019.71
  6. Step 6: Final answer
    x = 652.14

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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.