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Finding the Fourth Proportional to 1,075.09, 1,483.75 and 703.15

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Solution

The fourth proportional to 1,075.09, 1,483.75 and 703.15 is: 970.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.09 : 1,483.75 = 703.15 : x
  2. Step 2: Convert to fraction form
    1,075.09/1,483.75 = 703.15/x
  3. Step 3: Cross multiply
    1,075.09x = 1,483.75 × 703.15
  4. Step 4: Simplify right side
    1,075.09x = 1,043,295.98
  5. Step 5: Solve for x
    x = 1,043,295.98/1,075.09
  6. Step 6: Final answer
    x = 970.43

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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.