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Finding the Fourth Proportional to 1,403.17, 1,935.32 and 930.23

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Solution

The fourth proportional to 1,403.17, 1,935.32 and 930.23 is: 1,283.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.17 : 1,935.32 = 930.23 : x
  2. Step 2: Convert to fraction form
    1,403.17/1,935.32 = 930.23/x
  3. Step 3: Cross multiply
    1,403.17x = 1,935.32 × 930.23
  4. Step 4: Simplify right side
    1,403.17x = 1,800,278.40
  5. Step 5: Solve for x
    x = 1,800,278.40/1,403.17
  6. Step 6: Final answer
    x = 1,283.01

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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.