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Finding the Fourth Proportional to 977.21, 1,465.25 and 457.55

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Solution

The fourth proportional to 977.21, 1,465.25 and 457.55 is: 686.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.21 : 1,465.25 = 457.55 : x
  2. Step 2: Convert to fraction form
    977.21/1,465.25 = 457.55/x
  3. Step 3: Cross multiply
    977.21x = 1,465.25 × 457.55
  4. Step 4: Simplify right side
    977.21x = 670,415.52
  5. Step 5: Solve for x
    x = 670,415.52/977.21
  6. Step 6: Final answer
    x = 686.05

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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.