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Finding the Fourth Proportional to 1,401.95, 1,933.74 and 870.51

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Solution

The fourth proportional to 1,401.95, 1,933.74 and 870.51 is: 1,200.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,401.95 : 1,933.74 = 870.51 : x
  2. Step 2: Convert to fraction form
    1,401.95/1,933.74 = 870.51/x
  3. Step 3: Cross multiply
    1,401.95x = 1,933.74 × 870.51
  4. Step 4: Simplify right side
    1,401.95x = 1,683,340.01
  5. Step 5: Solve for x
    x = 1,683,340.01/1,401.95
  6. Step 6: Final answer
    x = 1,200.72

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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.