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Finding the Fourth Proportional to 864.58, 1,297.83 and 448.00

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Solution

The fourth proportional to 864.58, 1,297.83 and 448.00 is: 672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.58 : 1,297.83 = 448.00 : x
  2. Step 2: Convert to fraction form
    864.58/1,297.83 = 448.00/x
  3. Step 3: Cross multiply
    864.58x = 1,297.83 × 448.00
  4. Step 4: Simplify right side
    864.58x = 581,430.30
  5. Step 5: Solve for x
    x = 581,430.30/864.58
  6. Step 6: Final answer
    x = 672.50

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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.