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Finding the Fourth Proportional to 977.67, 1,465.70 and 457.40

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Solution

The fourth proportional to 977.67, 1,465.70 and 457.40 is: 685.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.67 : 1,465.70 = 457.40 : x
  2. Step 2: Convert to fraction form
    977.67/1,465.70 = 457.40/x
  3. Step 3: Cross multiply
    977.67x = 1,465.70 × 457.40
  4. Step 4: Simplify right side
    977.67x = 670,412.56
  5. Step 5: Solve for x
    x = 670,412.56/977.67
  6. Step 6: Final answer
    x = 685.72

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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.