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Finding the Fourth Proportional to 927.04, 1,389.90 and 653.68

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Solution

The fourth proportional to 927.04, 1,389.90 and 653.68 is: 980.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.04 : 1,389.90 = 653.68 : x
  2. Step 2: Convert to fraction form
    927.04/1,389.90 = 653.68/x
  3. Step 3: Cross multiply
    927.04x = 1,389.90 × 653.68
  4. Step 4: Simplify right side
    927.04x = 908,549.83
  5. Step 5: Solve for x
    x = 908,549.83/927.04
  6. Step 6: Final answer
    x = 980.05

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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.