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Finding the Fourth Proportional to 1,088.40, 1,625.70 and 934.77

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Solution

The fourth proportional to 1,088.40, 1,625.70 and 934.77 is: 1,396.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.40 : 1,625.70 = 934.77 : x
  2. Step 2: Convert to fraction form
    1,088.40/1,625.70 = 934.77/x
  3. Step 3: Cross multiply
    1,088.40x = 1,625.70 × 934.77
  4. Step 4: Simplify right side
    1,088.40x = 1,519,655.59
  5. Step 5: Solve for x
    x = 1,519,655.59/1,088.40
  6. Step 6: Final answer
    x = 1,396.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.