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Finding the Fourth Proportional to 1,503.63, 2,075.09 and 840.42

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Solution

The fourth proportional to 1,503.63, 2,075.09 and 840.42 is: 1,159.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.63 : 2,075.09 = 840.42 : x
  2. Step 2: Convert to fraction form
    1,503.63/2,075.09 = 840.42/x
  3. Step 3: Cross multiply
    1,503.63x = 2,075.09 × 840.42
  4. Step 4: Simplify right side
    1,503.63x = 1,743,942.94
  5. Step 5: Solve for x
    x = 1,743,942.94/1,503.63
  6. Step 6: Final answer
    x = 1,159.82

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1.5x scale

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.