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Finding the Fourth Proportional to 1,074.64, 1,599.10 and 1,071.00

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Solution

The fourth proportional to 1,074.64, 1,599.10 and 1,071.00 is: 1,593.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.64 : 1,599.10 = 1,071.00 : x
  2. Step 2: Convert to fraction form
    1,074.64/1,599.10 = 1,071.00/x
  3. Step 3: Cross multiply
    1,074.64x = 1,599.10 × 1,071.00
  4. Step 4: Simplify right side
    1,074.64x = 1,712,626.75
  5. Step 5: Solve for x
    x = 1,712,626.75/1,074.64
  6. Step 6: Final answer
    x = 1,593.67

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.