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Finding the Fourth Proportional to 977.29, 1,465.14 and 457.04

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Solution

The fourth proportional to 977.29, 1,465.14 and 457.04 is: 685.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.29 : 1,465.14 = 457.04 : x
  2. Step 2: Convert to fraction form
    977.29/1,465.14 = 457.04/x
  3. Step 3: Cross multiply
    977.29x = 1,465.14 × 457.04
  4. Step 4: Simplify right side
    977.29x = 669,627.59
  5. Step 5: Solve for x
    x = 669,627.59/977.29
  6. Step 6: Final answer
    x = 685.19

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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.