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Finding the Fourth Proportional to 977.63, 1,465.22 and 429.26

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Solution

The fourth proportional to 977.63, 1,465.22 and 429.26 is: 643.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.63 : 1,465.22 = 429.26 : x
  2. Step 2: Convert to fraction form
    977.63/1,465.22 = 429.26/x
  3. Step 3: Cross multiply
    977.63x = 1,465.22 × 429.26
  4. Step 4: Simplify right side
    977.63x = 628,954.08
  5. Step 5: Solve for x
    x = 628,954.08/977.63
  6. Step 6: Final answer
    x = 643.35

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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.