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Finding the Fourth Proportional to 1,348.14, 1,860.24 and 824.07

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Solution

The fourth proportional to 1,348.14, 1,860.24 and 824.07 is: 1,137.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.14 : 1,860.24 = 824.07 : x
  2. Step 2: Convert to fraction form
    1,348.14/1,860.24 = 824.07/x
  3. Step 3: Cross multiply
    1,348.14x = 1,860.24 × 824.07
  4. Step 4: Simplify right side
    1,348.14x = 1,532,967.98
  5. Step 5: Solve for x
    x = 1,532,967.98/1,348.14
  6. Step 6: Final answer
    x = 1,137.10

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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.