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Finding the Fourth Proportional to 1,019.55, 1,528.18 and 434.37

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Solution

The fourth proportional to 1,019.55, 1,528.18 and 434.37 is: 651.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.55 : 1,528.18 = 434.37 : x
  2. Step 2: Convert to fraction form
    1,019.55/1,528.18 = 434.37/x
  3. Step 3: Cross multiply
    1,019.55x = 1,528.18 × 434.37
  4. Step 4: Simplify right side
    1,019.55x = 663,795.55
  5. Step 5: Solve for x
    x = 663,795.55/1,019.55
  6. Step 6: Final answer
    x = 651.07

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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.