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Finding the Fourth Proportional to 1,706.48, 2,559.60 and 456.98

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Solution

The fourth proportional to 1,706.48, 2,559.60 and 456.98 is: 685.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,706.48 : 2,559.60 = 456.98 : x
  2. Step 2: Convert to fraction form
    1,706.48/2,559.60 = 456.98/x
  3. Step 3: Cross multiply
    1,706.48x = 2,559.60 × 456.98
  4. Step 4: Simplify right side
    1,706.48x = 1,169,673.21
  5. Step 5: Solve for x
    x = 1,169,673.21/1,706.48
  6. Step 6: Final answer
    x = 685.43

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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.