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Finding the Fourth Proportional to 1,402.33, 1,934.18 and 904.72

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Solution

The fourth proportional to 1,402.33, 1,934.18 and 904.72 is: 1,247.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.33 : 1,934.18 = 904.72 : x
  2. Step 2: Convert to fraction form
    1,402.33/1,934.18 = 904.72/x
  3. Step 3: Cross multiply
    1,402.33x = 1,934.18 × 904.72
  4. Step 4: Simplify right side
    1,402.33x = 1,749,881.66
  5. Step 5: Solve for x
    x = 1,749,881.66/1,402.33
  6. Step 6: Final answer
    x = 1,247.84

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