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Finding the Fourth Proportional to 1,075.58, 1,483.80 and 655.59

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Solution

The fourth proportional to 1,075.58, 1,483.80 and 655.59 is: 904.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.58 : 1,483.80 = 655.59 : x
  2. Step 2: Convert to fraction form
    1,075.58/1,483.80 = 655.59/x
  3. Step 3: Cross multiply
    1,075.58x = 1,483.80 × 655.59
  4. Step 4: Simplify right side
    1,075.58x = 972,764.44
  5. Step 5: Solve for x
    x = 972,764.44/1,075.58
  6. Step 6: Final answer
    x = 904.41

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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.