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Finding the Fourth Proportional to 1,132.01, 1,696.63 and 515.55

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Solution

The fourth proportional to 1,132.01, 1,696.63 and 515.55 is: 772.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.01 : 1,696.63 = 515.55 : x
  2. Step 2: Convert to fraction form
    1,132.01/1,696.63 = 515.55/x
  3. Step 3: Cross multiply
    1,132.01x = 1,696.63 × 515.55
  4. Step 4: Simplify right side
    1,132.01x = 874,697.60
  5. Step 5: Solve for x
    x = 874,697.60/1,132.01
  6. Step 6: Final answer
    x = 772.69

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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.