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Finding the Fourth Proportional to 704.04, 1,054.80 and 456.72

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Solution

The fourth proportional to 704.04, 1,054.80 and 456.72 is: 684.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.04 : 1,054.80 = 456.72 : x
  2. Step 2: Convert to fraction form
    704.04/1,054.80 = 456.72/x
  3. Step 3: Cross multiply
    704.04x = 1,054.80 × 456.72
  4. Step 4: Simplify right side
    704.04x = 481,748.26
  5. Step 5: Solve for x
    x = 481,748.26/704.04
  6. Step 6: Final answer
    x = 684.26

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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.