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Finding the Fourth Proportional to 1,390.19, 1,920.03 and 947.33

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Solution

The fourth proportional to 1,390.19, 1,920.03 and 947.33 is: 1,308.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.19 : 1,920.03 = 947.33 : x
  2. Step 2: Convert to fraction form
    1,390.19/1,920.03 = 947.33/x
  3. Step 3: Cross multiply
    1,390.19x = 1,920.03 × 947.33
  4. Step 4: Simplify right side
    1,390.19x = 1,818,892.42
  5. Step 5: Solve for x
    x = 1,818,892.42/1,390.19
  6. Step 6: Final answer
    x = 1,308.38

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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.