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Finding the Fourth Proportional to 1,557.58, 2,334.71 and 776.04

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Solution

The fourth proportional to 1,557.58, 2,334.71 and 776.04 is: 1,163.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,557.58 : 2,334.71 = 776.04 : x
  2. Step 2: Convert to fraction form
    1,557.58/2,334.71 = 776.04/x
  3. Step 3: Cross multiply
    1,557.58x = 2,334.71 × 776.04
  4. Step 4: Simplify right side
    1,557.58x = 1,811,834.40
  5. Step 5: Solve for x
    x = 1,811,834.40/1,557.58
  6. Step 6: Final answer
    x = 1,163.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.