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Finding the Fourth Proportional to 1,056.62, 1,583.60 and 561.80

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Solution

The fourth proportional to 1,056.62, 1,583.60 and 561.80 is: 841.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.62 : 1,583.60 = 561.80 : x
  2. Step 2: Convert to fraction form
    1,056.62/1,583.60 = 561.80/x
  3. Step 3: Cross multiply
    1,056.62x = 1,583.60 × 561.80
  4. Step 4: Simplify right side
    1,056.62x = 889,667.63
  5. Step 5: Solve for x
    x = 889,667.63/1,056.62
  6. Step 6: Final answer
    x = 841.99

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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.