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Finding the Fourth Proportional to 653.08, 977.34 and 470.84

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Solution

The fourth proportional to 653.08, 977.34 and 470.84 is: 704.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.08 : 977.34 = 470.84 : x
  2. Step 2: Convert to fraction form
    653.08/977.34 = 470.84/x
  3. Step 3: Cross multiply
    653.08x = 977.34 × 470.84
  4. Step 4: Simplify right side
    653.08x = 460,170.77
  5. Step 5: Solve for x
    x = 460,170.77/653.08
  6. Step 6: Final answer
    x = 704.62

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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.