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Finding the Fourth Proportional to 672.00, 1,007.54 and 476.99

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Solution

The fourth proportional to 672.00, 1,007.54 and 476.99 is: 715.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    672.00 : 1,007.54 = 476.99 : x
  2. Step 2: Convert to fraction form
    672.00/1,007.54 = 476.99/x
  3. Step 3: Cross multiply
    672.00x = 1,007.54 × 476.99
  4. Step 4: Simplify right side
    672.00x = 480,584.65
  5. Step 5: Solve for x
    x = 480,584.65/672.00
  6. Step 6: Final answer
    x = 715.16

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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.