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Finding the Fourth Proportional to 1,184.53, 1,777.35 and 607.81

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Solution

The fourth proportional to 1,184.53, 1,777.35 and 607.81 is: 912.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.53 : 1,777.35 = 607.81 : x
  2. Step 2: Convert to fraction form
    1,184.53/1,777.35 = 607.81/x
  3. Step 3: Cross multiply
    1,184.53x = 1,777.35 × 607.81
  4. Step 4: Simplify right side
    1,184.53x = 1,080,291.10
  5. Step 5: Solve for x
    x = 1,080,291.10/1,184.53
  6. Step 6: Final answer
    x = 912.00

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Why These Related Problems?

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