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Finding the Fourth Proportional to 1,339.62, 1,848.64 and 750.22

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Solution

The fourth proportional to 1,339.62, 1,848.64 and 750.22 is: 1,035.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.62 : 1,848.64 = 750.22 : x
  2. Step 2: Convert to fraction form
    1,339.62/1,848.64 = 750.22/x
  3. Step 3: Cross multiply
    1,339.62x = 1,848.64 × 750.22
  4. Step 4: Simplify right side
    1,339.62x = 1,386,886.70
  5. Step 5: Solve for x
    x = 1,386,886.70/1,339.62
  6. Step 6: Final answer
    x = 1,035.28

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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.