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Finding the Fourth Proportional to 705.72, 973.76 and 453.86

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Solution

The fourth proportional to 705.72, 973.76 and 453.86 is: 626.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.72 : 973.76 = 453.86 : x
  2. Step 2: Convert to fraction form
    705.72/973.76 = 453.86/x
  3. Step 3: Cross multiply
    705.72x = 973.76 × 453.86
  4. Step 4: Simplify right side
    705.72x = 441,950.71
  5. Step 5: Solve for x
    x = 441,950.71/705.72
  6. Step 6: Final answer
    x = 626.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.