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Finding the Fourth Proportional to 1,365.46, 1,884.35 and 776.01

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Solution

The fourth proportional to 1,365.46, 1,884.35 and 776.01 is: 1,070.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.46 : 1,884.35 = 776.01 : x
  2. Step 2: Convert to fraction form
    1,365.46/1,884.35 = 776.01/x
  3. Step 3: Cross multiply
    1,365.46x = 1,884.35 × 776.01
  4. Step 4: Simplify right side
    1,365.46x = 1,462,274.44
  5. Step 5: Solve for x
    x = 1,462,274.44/1,365.46
  6. Step 6: Final answer
    x = 1,070.90

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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.