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Finding the Fourth Proportional to 922.51, 1,382.68 and 740.13

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Solution

The fourth proportional to 922.51, 1,382.68 and 740.13 is: 1,109.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    922.51 : 1,382.68 = 740.13 : x
  2. Step 2: Convert to fraction form
    922.51/1,382.68 = 740.13/x
  3. Step 3: Cross multiply
    922.51x = 1,382.68 × 740.13
  4. Step 4: Simplify right side
    922.51x = 1,023,362.95
  5. Step 5: Solve for x
    x = 1,023,362.95/922.51
  6. Step 6: Final answer
    x = 1,109.32

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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.