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Finding the Fourth Proportional to 1,075.63, 1,484.37 and 609.88

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Solution

The fourth proportional to 1,075.63, 1,484.37 and 609.88 is: 841.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.63 : 1,484.37 = 609.88 : x
  2. Step 2: Convert to fraction form
    1,075.63/1,484.37 = 609.88/x
  3. Step 3: Cross multiply
    1,075.63x = 1,484.37 × 609.88
  4. Step 4: Simplify right side
    1,075.63x = 905,277.10
  5. Step 5: Solve for x
    x = 905,277.10/1,075.63
  6. Step 6: Final answer
    x = 841.63

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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.