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Finding the Fourth Proportional to 1,075.88, 1,484.74 and 650.74

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Solution

The fourth proportional to 1,075.88, 1,484.74 and 650.74 is: 898.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,075.88 : 1,484.74 = 650.74 : x
  2. Step 2: Convert to fraction form
    1,075.88/1,484.74 = 650.74/x
  3. Step 3: Cross multiply
    1,075.88x = 1,484.74 × 650.74
  4. Step 4: Simplify right side
    1,075.88x = 966,179.71
  5. Step 5: Solve for x
    x = 966,179.71/1,075.88
  6. Step 6: Final answer
    x = 898.04

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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.