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Finding the Fourth Proportional to 1,136.70, 1,566.58 and 841.45

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Solution

The fourth proportional to 1,136.70, 1,566.58 and 841.45 is: 1,159.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.70 : 1,566.58 = 841.45 : x
  2. Step 2: Convert to fraction form
    1,136.70/1,566.58 = 841.45/x
  3. Step 3: Cross multiply
    1,136.70x = 1,566.58 × 841.45
  4. Step 4: Simplify right side
    1,136.70x = 1,318,198.74
  5. Step 5: Solve for x
    x = 1,318,198.74/1,136.70
  6. Step 6: Final answer
    x = 1,159.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.