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Finding the Fourth Proportional to 1,065.56, 1,598.35 and 296.06

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Solution

The fourth proportional to 1,065.56, 1,598.35 and 296.06 is: 444.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065.56 : 1,598.35 = 296.06 : x
  2. Step 2: Convert to fraction form
    1,065.56/1,598.35 = 296.06/x
  3. Step 3: Cross multiply
    1,065.56x = 1,598.35 × 296.06
  4. Step 4: Simplify right side
    1,065.56x = 473,210.76
  5. Step 5: Solve for x
    x = 473,210.76/1,065.56
  6. Step 6: Final answer
    x = 444.09

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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.