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Finding the Fourth Proportional to 1,074.10, 1,482.24 and 602.00

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Solution

The fourth proportional to 1,074.10, 1,482.24 and 602.00 is: 830.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.10 : 1,482.24 = 602.00 : x
  2. Step 2: Convert to fraction form
    1,074.10/1,482.24 = 602.00/x
  3. Step 3: Cross multiply
    1,074.10x = 1,482.24 × 602.00
  4. Step 4: Simplify right side
    1,074.10x = 892,301.07
  5. Step 5: Solve for x
    x = 892,301.07/1,074.10
  6. Step 6: Final answer
    x = 830.74

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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.