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Finding the Fourth Proportional to 1,347.06, 1,858.31 and 899.14

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Solution

The fourth proportional to 1,347.06, 1,858.31 and 899.14 is: 1,240.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.06 : 1,858.31 = 899.14 : x
  2. Step 2: Convert to fraction form
    1,347.06/1,858.31 = 899.14/x
  3. Step 3: Cross multiply
    1,347.06x = 1,858.31 × 899.14
  4. Step 4: Simplify right side
    1,347.06x = 1,670,880.85
  5. Step 5: Solve for x
    x = 1,670,880.85/1,347.06
  6. Step 6: Final answer
    x = 1,240.39

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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.