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Finding the Fourth Proportional to 1,088.04, 1,623.50 and 983.58

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Solution

The fourth proportional to 1,088.04, 1,623.50 and 983.58 is: 1,467.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.04 : 1,623.50 = 983.58 : x
  2. Step 2: Convert to fraction form
    1,088.04/1,623.50 = 983.58/x
  3. Step 3: Cross multiply
    1,088.04x = 1,623.50 × 983.58
  4. Step 4: Simplify right side
    1,088.04x = 1,596,837.21
  5. Step 5: Solve for x
    x = 1,596,837.21/1,088.04
  6. Step 6: Final answer
    x = 1,467.63

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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.