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Finding the Fourth Proportional to 1,007.18, 1,509.70 and 422.04

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Solution

The fourth proportional to 1,007.18, 1,509.70 and 422.04 is: 632.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.18 : 1,509.70 = 422.04 : x
  2. Step 2: Convert to fraction form
    1,007.18/1,509.70 = 422.04/x
  3. Step 3: Cross multiply
    1,007.18x = 1,509.70 × 422.04
  4. Step 4: Simplify right side
    1,007.18x = 637,153.79
  5. Step 5: Solve for x
    x = 637,153.79/1,007.18
  6. Step 6: Final answer
    x = 632.61

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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.