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Finding the Fourth Proportional to 708.96, 1,061.76 and 465.12

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Solution

The fourth proportional to 708.96, 1,061.76 and 465.12 is: 696.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.96 : 1,061.76 = 465.12 : x
  2. Step 2: Convert to fraction form
    708.96/1,061.76 = 465.12/x
  3. Step 3: Cross multiply
    708.96x = 1,061.76 × 465.12
  4. Step 4: Simplify right side
    708.96x = 493,845.81
  5. Step 5: Solve for x
    x = 493,845.81/708.96
  6. Step 6: Final answer
    x = 696.58

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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.