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Finding the Fourth Proportional to 977.85, 1,465.02 and 457.02

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Solution

The fourth proportional to 977.85, 1,465.02 and 457.02 is: 684.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.85 : 1,465.02 = 457.02 : x
  2. Step 2: Convert to fraction form
    977.85/1,465.02 = 457.02/x
  3. Step 3: Cross multiply
    977.85x = 1,465.02 × 457.02
  4. Step 4: Simplify right side
    977.85x = 669,543.44
  5. Step 5: Solve for x
    x = 669,543.44/977.85
  6. Step 6: Final answer
    x = 684.71

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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.