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Finding the Fourth Proportional to 1,342.37, 1,852.57 and 782.87

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Solution

The fourth proportional to 1,342.37, 1,852.57 and 782.87 is: 1,080.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.37 : 1,852.57 = 782.87 : x
  2. Step 2: Convert to fraction form
    1,342.37/1,852.57 = 782.87/x
  3. Step 3: Cross multiply
    1,342.37x = 1,852.57 × 782.87
  4. Step 4: Simplify right side
    1,342.37x = 1,450,313.19
  5. Step 5: Solve for x
    x = 1,450,313.19/1,342.37
  6. Step 6: Final answer
    x = 1,080.41

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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.