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Finding the Fourth Proportional to 977.43, 1,465.34 and 457.16

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Solution

The fourth proportional to 977.43, 1,465.34 and 457.16 is: 685.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.43 : 1,465.34 = 457.16 : x
  2. Step 2: Convert to fraction form
    977.43/1,465.34 = 457.16/x
  3. Step 3: Cross multiply
    977.43x = 1,465.34 × 457.16
  4. Step 4: Simplify right side
    977.43x = 669,885.22
  5. Step 5: Solve for x
    x = 669,885.22/977.43
  6. Step 6: Final answer
    x = 685.35

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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.