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Finding the Fourth Proportional to 1,065.64, 1,598.22 and 296.20

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Solution

The fourth proportional to 1,065.64, 1,598.22 and 296.20 is: 444.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.64 : 1,598.22 = 296.20 : x
  2. Step 2: Convert to fraction form
    1,065.64/1,598.22 = 296.20/x
  3. Step 3: Cross multiply
    1,065.64x = 1,598.22 × 296.20
  4. Step 4: Simplify right side
    1,065.64x = 473,392.76
  5. Step 5: Solve for x
    x = 473,392.76/1,065.64
  6. Step 6: Final answer
    x = 444.23

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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.