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Finding the Fourth Proportional to 1,074.68, 1,482.95 and 626.48

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Solution

The fourth proportional to 1,074.68, 1,482.95 and 626.48 is: 864.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074.68 : 1,482.95 = 626.48 : x
  2. Step 2: Convert to fraction form
    1,074.68/1,482.95 = 626.48/x
  3. Step 3: Cross multiply
    1,074.68x = 1,482.95 × 626.48
  4. Step 4: Simplify right side
    1,074.68x = 929,038.52
  5. Step 5: Solve for x
    x = 929,038.52/1,074.68
  6. Step 6: Final answer
    x = 864.48

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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.