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Finding the Fourth Proportional to 970.69, 1,456.22 and 415.39

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Solution

The fourth proportional to 970.69, 1,456.22 and 415.39 is: 623.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.69 : 1,456.22 = 415.39 : x
  2. Step 2: Convert to fraction form
    970.69/1,456.22 = 415.39/x
  3. Step 3: Cross multiply
    970.69x = 1,456.22 × 415.39
  4. Step 4: Simplify right side
    970.69x = 604,896.62
  5. Step 5: Solve for x
    x = 604,896.62/970.69
  6. Step 6: Final answer
    x = 623.16

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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.