Home / 1,264.20-1,894.68-975.03

Finding the Fourth Proportional to 1,264.20, 1,894.68 and 975.03

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Solution

The fourth proportional to 1,264.20, 1,894.68 and 975.03 is: 1,461.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264.20 : 1,894.68 = 975.03 : x
  2. Step 2: Convert to fraction form
    1,264.20/1,894.68 = 975.03/x
  3. Step 3: Cross multiply
    1,264.20x = 1,894.68 × 975.03
  4. Step 4: Simplify right side
    1,264.20x = 1,847,369.84
  5. Step 5: Solve for x
    x = 1,847,369.84/1,264.20
  6. Step 6: Final answer
    x = 1,461.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.