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Finding the Fourth Proportional to 977.68, 1,465.24 and 429.24

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Solution

The fourth proportional to 977.68, 1,465.24 and 429.24 is: 643.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.68 : 1,465.24 = 429.24 : x
  2. Step 2: Convert to fraction form
    977.68/1,465.24 = 429.24/x
  3. Step 3: Cross multiply
    977.68x = 1,465.24 × 429.24
  4. Step 4: Simplify right side
    977.68x = 628,939.62
  5. Step 5: Solve for x
    x = 628,939.62/977.68
  6. Step 6: Final answer
    x = 643.30

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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.