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Finding the Fourth Proportional to 1,342.50, 1,852.66 and 783.35

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Solution

The fourth proportional to 1,342.50, 1,852.66 and 783.35 is: 1,081.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.50 : 1,852.66 = 783.35 : x
  2. Step 2: Convert to fraction form
    1,342.50/1,852.66 = 783.35/x
  3. Step 3: Cross multiply
    1,342.50x = 1,852.66 × 783.35
  4. Step 4: Simplify right side
    1,342.50x = 1,451,281.21
  5. Step 5: Solve for x
    x = 1,451,281.21/1,342.50
  6. Step 6: Final answer
    x = 1,081.03

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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.