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Finding the Fourth Proportional to 1,339.45, 1,848.34 and 741.88

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Solution

The fourth proportional to 1,339.45, 1,848.34 and 741.88 is: 1,023.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.45 : 1,848.34 = 741.88 : x
  2. Step 2: Convert to fraction form
    1,339.45/1,848.34 = 741.88/x
  3. Step 3: Cross multiply
    1,339.45x = 1,848.34 × 741.88
  4. Step 4: Simplify right side
    1,339.45x = 1,371,246.48
  5. Step 5: Solve for x
    x = 1,371,246.48/1,339.45
  6. Step 6: Final answer
    x = 1,023.74

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1.5x scale

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.