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Finding the Fourth Proportional to 705.94, 973.94 and 457.14

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Solution

The fourth proportional to 705.94, 973.94 and 457.14 is: 630.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.94 : 973.94 = 457.14 : x
  2. Step 2: Convert to fraction form
    705.94/973.94 = 457.14/x
  3. Step 3: Cross multiply
    705.94x = 973.94 × 457.14
  4. Step 4: Simplify right side
    705.94x = 445,226.93
  5. Step 5: Solve for x
    x = 445,226.93/705.94
  6. Step 6: Final answer
    x = 630.69

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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.