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Finding the Fourth Proportional to 653.07, 978.69 and 470.05

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Solution

The fourth proportional to 653.07, 978.69 and 470.05 is: 704.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.07 : 978.69 = 470.05 : x
  2. Step 2: Convert to fraction form
    653.07/978.69 = 470.05/x
  3. Step 3: Cross multiply
    653.07x = 978.69 × 470.05
  4. Step 4: Simplify right side
    653.07x = 460,033.23
  5. Step 5: Solve for x
    x = 460,033.23/653.07
  6. Step 6: Final answer
    x = 704.42

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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.