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Finding the Fourth Proportional to 1,401.60, 1,934.08 and 780.48

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Solution

The fourth proportional to 1,401.60, 1,934.08 and 780.48 is: 1,076.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.60 : 1,934.08 = 780.48 : x
  2. Step 2: Convert to fraction form
    1,401.60/1,934.08 = 780.48/x
  3. Step 3: Cross multiply
    1,401.60x = 1,934.08 × 780.48
  4. Step 4: Simplify right side
    1,401.60x = 1,509,510.76
  5. Step 5: Solve for x
    x = 1,509,510.76/1,401.60
  6. Step 6: Final answer
    x = 1,076.99

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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.