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Finding the Fourth Proportional to 1,684.48, 2,527.74 and 710.58

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Solution

The fourth proportional to 1,684.48, 2,527.74 and 710.58 is: 1,066.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684.48 : 2,527.74 = 710.58 : x
  2. Step 2: Convert to fraction form
    1,684.48/2,527.74 = 710.58/x
  3. Step 3: Cross multiply
    1,684.48x = 2,527.74 × 710.58
  4. Step 4: Simplify right side
    1,684.48x = 1,796,161.49
  5. Step 5: Solve for x
    x = 1,796,161.49/1,684.48
  6. Step 6: Final answer
    x = 1,066.30

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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.