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Finding the Fourth Proportional to 977.14, 1,465.86 and 464.14

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Solution

The fourth proportional to 977.14, 1,465.86 and 464.14 is: 696.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.14 : 1,465.86 = 464.14 : x
  2. Step 2: Convert to fraction form
    977.14/1,465.86 = 464.14/x
  3. Step 3: Cross multiply
    977.14x = 1,465.86 × 464.14
  4. Step 4: Simplify right side
    977.14x = 680,364.26
  5. Step 5: Solve for x
    x = 680,364.26/977.14
  6. Step 6: Final answer
    x = 696.28

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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.