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Finding the Fourth Proportional to 708.34, 1,061.64 and 514.01

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Solution

The fourth proportional to 708.34, 1,061.64 and 514.01 is: 770.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.34 : 1,061.64 = 514.01 : x
  2. Step 2: Convert to fraction form
    708.34/1,061.64 = 514.01/x
  3. Step 3: Cross multiply
    708.34x = 1,061.64 × 514.01
  4. Step 4: Simplify right side
    708.34x = 545,693.58
  5. Step 5: Solve for x
    x = 545,693.58/708.34
  6. Step 6: Final answer
    x = 770.38

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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.