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Finding the Fourth Proportional to 1,365.48, 1,884.23 and 775.90

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Solution

The fourth proportional to 1,365.48, 1,884.23 and 775.90 is: 1,070.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.48 : 1,884.23 = 775.90 : x
  2. Step 2: Convert to fraction form
    1,365.48/1,884.23 = 775.90/x
  3. Step 3: Cross multiply
    1,365.48x = 1,884.23 × 775.90
  4. Step 4: Simplify right side
    1,365.48x = 1,461,975.44
  5. Step 5: Solve for x
    x = 1,461,975.44/1,365.48
  6. Step 6: Final answer
    x = 1,070.67

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Why These Related Problems?

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