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Finding the Fourth Proportional to 1,164.99, 1,607.06 and 884.76

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Solution

The fourth proportional to 1,164.99, 1,607.06 and 884.76 is: 1,220.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.99 : 1,607.06 = 884.76 : x
  2. Step 2: Convert to fraction form
    1,164.99/1,607.06 = 884.76/x
  3. Step 3: Cross multiply
    1,164.99x = 1,607.06 × 884.76
  4. Step 4: Simplify right side
    1,164.99x = 1,421,862.41
  5. Step 5: Solve for x
    x = 1,421,862.41/1,164.99
  6. Step 6: Final answer
    x = 1,220.49

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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.