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Finding the Fourth Proportional to 977.24, 1,465.14 and 457.58

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Solution

The fourth proportional to 977.24, 1,465.14 and 457.58 is: 686.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.24 : 1,465.14 = 457.58 : x
  2. Step 2: Convert to fraction form
    977.24/1,465.14 = 457.58/x
  3. Step 3: Cross multiply
    977.24x = 1,465.14 × 457.58
  4. Step 4: Simplify right side
    977.24x = 670,418.76
  5. Step 5: Solve for x
    x = 670,418.76/977.24
  6. Step 6: Final answer
    x = 686.03

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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.