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Finding the Fourth Proportional to 1,074.95, 1,612.65 and 458.67

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Solution

The fourth proportional to 1,074.95, 1,612.65 and 458.67 is: 688.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.95 : 1,612.65 = 458.67 : x
  2. Step 2: Convert to fraction form
    1,074.95/1,612.65 = 458.67/x
  3. Step 3: Cross multiply
    1,074.95x = 1,612.65 × 458.67
  4. Step 4: Simplify right side
    1,074.95x = 739,674.18
  5. Step 5: Solve for x
    x = 739,674.18/1,074.95
  6. Step 6: Final answer
    x = 688.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.