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Finding the Fourth Proportional to 1,007.34, 1,510.51 and 422.17

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Solution

The fourth proportional to 1,007.34, 1,510.51 and 422.17 is: 633.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.34 : 1,510.51 = 422.17 : x
  2. Step 2: Convert to fraction form
    1,007.34/1,510.51 = 422.17/x
  3. Step 3: Cross multiply
    1,007.34x = 1,510.51 × 422.17
  4. Step 4: Simplify right side
    1,007.34x = 637,692.01
  5. Step 5: Solve for x
    x = 637,692.01/1,007.34
  6. Step 6: Final answer
    x = 633.05

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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.