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Finding the Fourth Proportional to 918.82, 1,263.60 and 730.09

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Solution

The fourth proportional to 918.82, 1,263.60 and 730.09 is: 1,004.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.82 : 1,263.60 = 730.09 : x
  2. Step 2: Convert to fraction form
    918.82/1,263.60 = 730.09/x
  3. Step 3: Cross multiply
    918.82x = 1,263.60 × 730.09
  4. Step 4: Simplify right side
    918.82x = 922,541.72
  5. Step 5: Solve for x
    x = 922,541.72/918.82
  6. Step 6: Final answer
    x = 1,004.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.