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Finding the Fourth Proportional to 704.12, 1,054.59 and 508.51

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Solution

The fourth proportional to 704.12, 1,054.59 and 508.51 is: 761.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.12 : 1,054.59 = 508.51 : x
  2. Step 2: Convert to fraction form
    704.12/1,054.59 = 508.51/x
  3. Step 3: Cross multiply
    704.12x = 1,054.59 × 508.51
  4. Step 4: Simplify right side
    704.12x = 536,266.92
  5. Step 5: Solve for x
    x = 536,266.92/704.12
  6. Step 6: Final answer
    x = 761.61

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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.