Home / 1,298.04-1,947.26-476.12

Finding the Fourth Proportional to 1,298.04, 1,947.26 and 476.12

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Solution

The fourth proportional to 1,298.04, 1,947.26 and 476.12 is: 714.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.04 : 1,947.26 = 476.12 : x
  2. Step 2: Convert to fraction form
    1,298.04/1,947.26 = 476.12/x
  3. Step 3: Cross multiply
    1,298.04x = 1,947.26 × 476.12
  4. Step 4: Simplify right side
    1,298.04x = 927,129.43
  5. Step 5: Solve for x
    x = 927,129.43/1,298.04
  6. Step 6: Final answer
    x = 714.25

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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.