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Finding the Fourth Proportional to 1,011.03, 1,516.95 and 433.50

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Solution

The fourth proportional to 1,011.03, 1,516.95 and 433.50 is: 650.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.03 : 1,516.95 = 433.50 : x
  2. Step 2: Convert to fraction form
    1,011.03/1,516.95 = 433.50/x
  3. Step 3: Cross multiply
    1,011.03x = 1,516.95 × 433.50
  4. Step 4: Simplify right side
    1,011.03x = 657,597.83
  5. Step 5: Solve for x
    x = 657,597.83/1,011.03
  6. Step 6: Final answer
    x = 650.42

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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.