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Finding the Fourth Proportional to 1,004.08, 1,505.86 and 476.47

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Solution

The fourth proportional to 1,004.08, 1,505.86 and 476.47 is: 714.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.08 : 1,505.86 = 476.47 : x
  2. Step 2: Convert to fraction form
    1,004.08/1,505.86 = 476.47/x
  3. Step 3: Cross multiply
    1,004.08x = 1,505.86 × 476.47
  4. Step 4: Simplify right side
    1,004.08x = 717,497.11
  5. Step 5: Solve for x
    x = 717,497.11/1,004.08
  6. Step 6: Final answer
    x = 714.58

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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.