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Finding the Fourth Proportional to 1,347.75, 1,859.93 and 824.07

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Solution

The fourth proportional to 1,347.75, 1,859.93 and 824.07 is: 1,137.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.75 : 1,859.93 = 824.07 : x
  2. Step 2: Convert to fraction form
    1,347.75/1,859.93 = 824.07/x
  3. Step 3: Cross multiply
    1,347.75x = 1,859.93 × 824.07
  4. Step 4: Simplify right side
    1,347.75x = 1,532,708.39
  5. Step 5: Solve for x
    x = 1,532,708.39/1,347.75
  6. Step 6: Final answer
    x = 1,137.23

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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.