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Finding the Fourth Proportional to 1,056.56, 1,583.86 and 501.53

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Solution

The fourth proportional to 1,056.56, 1,583.86 and 501.53 is: 751.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,056.56 : 1,583.86 = 501.53 : x
  2. Step 2: Convert to fraction form
    1,056.56/1,583.86 = 501.53/x
  3. Step 3: Cross multiply
    1,056.56x = 1,583.86 × 501.53
  4. Step 4: Simplify right side
    1,056.56x = 794,342.88
  5. Step 5: Solve for x
    x = 794,342.88/1,056.56
  6. Step 6: Final answer
    x = 751.82

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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.