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Finding the Fourth Proportional to 1,065.66, 1,598.58 and 335.22

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Solution

The fourth proportional to 1,065.66, 1,598.58 and 335.22 is: 502.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.66 : 1,598.58 = 335.22 : x
  2. Step 2: Convert to fraction form
    1,065.66/1,598.58 = 335.22/x
  3. Step 3: Cross multiply
    1,065.66x = 1,598.58 × 335.22
  4. Step 4: Simplify right side
    1,065.66x = 535,875.99
  5. Step 5: Solve for x
    x = 535,875.99/1,065.66
  6. Step 6: Final answer
    x = 502.86

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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.