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Finding the Fourth Proportional to 977.94, 1,465.74 and 457.26

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Solution

The fourth proportional to 977.94, 1,465.74 and 457.26 is: 685.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.94 : 1,465.74 = 457.26 : x
  2. Step 2: Convert to fraction form
    977.94/1,465.74 = 457.26/x
  3. Step 3: Cross multiply
    977.94x = 1,465.74 × 457.26
  4. Step 4: Simplify right side
    977.94x = 670,224.27
  5. Step 5: Solve for x
    x = 670,224.27/977.94
  6. Step 6: Final answer
    x = 685.34

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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.