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Finding the Fourth Proportional to 1,370.88, 2,056.43 and 446.42

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Solution

The fourth proportional to 1,370.88, 2,056.43 and 446.42 is: 669.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370.88 : 2,056.43 = 446.42 : x
  2. Step 2: Convert to fraction form
    1,370.88/2,056.43 = 446.42/x
  3. Step 3: Cross multiply
    1,370.88x = 2,056.43 × 446.42
  4. Step 4: Simplify right side
    1,370.88x = 918,031.48
  5. Step 5: Solve for x
    x = 918,031.48/1,370.88
  6. Step 6: Final answer
    x = 669.67

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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.