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Finding the Fourth Proportional to 1,075.48, 1,484.93 and 744.59

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Solution

The fourth proportional to 1,075.48, 1,484.93 and 744.59 is: 1,028.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.48 : 1,484.93 = 744.59 : x
  2. Step 2: Convert to fraction form
    1,075.48/1,484.93 = 744.59/x
  3. Step 3: Cross multiply
    1,075.48x = 1,484.93 × 744.59
  4. Step 4: Simplify right side
    1,075.48x = 1,105,669.60
  5. Step 5: Solve for x
    x = 1,105,669.60/1,075.48
  6. Step 6: Final answer
    x = 1,028.07

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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.