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Finding the Fourth Proportional to 1,050.98, 1,576.58 and 357.74

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Solution

The fourth proportional to 1,050.98, 1,576.58 and 357.74 is: 536.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.98 : 1,576.58 = 357.74 : x
  2. Step 2: Convert to fraction form
    1,050.98/1,576.58 = 357.74/x
  3. Step 3: Cross multiply
    1,050.98x = 1,576.58 × 357.74
  4. Step 4: Simplify right side
    1,050.98x = 564,005.73
  5. Step 5: Solve for x
    x = 564,005.73/1,050.98
  6. Step 6: Final answer
    x = 536.65

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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.