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Finding the Fourth Proportional to 970.04, 1,455.77 and 727.22

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Solution

The fourth proportional to 970.04, 1,455.77 and 727.22 is: 1,091.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.04 : 1,455.77 = 727.22 : x
  2. Step 2: Convert to fraction form
    970.04/1,455.77 = 727.22/x
  3. Step 3: Cross multiply
    970.04x = 1,455.77 × 727.22
  4. Step 4: Simplify right side
    970.04x = 1,058,667.79
  5. Step 5: Solve for x
    x = 1,058,667.79/970.04
  6. Step 6: Final answer
    x = 1,091.36

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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.