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Finding the Fourth Proportional to 977.36, 1,464.60 and 591.68

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Solution

The fourth proportional to 977.36, 1,464.60 and 591.68 is: 886.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.36 : 1,464.60 = 591.68 : x
  2. Step 2: Convert to fraction form
    977.36/1,464.60 = 591.68/x
  3. Step 3: Cross multiply
    977.36x = 1,464.60 × 591.68
  4. Step 4: Simplify right side
    977.36x = 866,574.53
  5. Step 5: Solve for x
    x = 866,574.53/977.36
  6. Step 6: Final answer
    x = 886.65

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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.