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Finding the Fourth Proportional to 977.59, 1,465.34 and 669.35

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Solution

The fourth proportional to 977.59, 1,465.34 and 669.35 is: 1,003.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.59 : 1,465.34 = 669.35 : x
  2. Step 2: Convert to fraction form
    977.59/1,465.34 = 669.35/x
  3. Step 3: Cross multiply
    977.59x = 1,465.34 × 669.35
  4. Step 4: Simplify right side
    977.59x = 980,821.98
  5. Step 5: Solve for x
    x = 980,821.98/977.59
  6. Step 6: Final answer
    x = 1,003.31

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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.