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Finding the Fourth Proportional to 1,365.04, 2,048.64 and 716.50

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Solution

The fourth proportional to 1,365.04, 2,048.64 and 716.50 is: 1,075.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.04 : 2,048.64 = 716.50 : x
  2. Step 2: Convert to fraction form
    1,365.04/2,048.64 = 716.50/x
  3. Step 3: Cross multiply
    1,365.04x = 2,048.64 × 716.50
  4. Step 4: Simplify right side
    1,365.04x = 1,467,850.56
  5. Step 5: Solve for x
    x = 1,467,850.56/1,365.04
  6. Step 6: Final answer
    x = 1,075.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.