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Finding the Fourth Proportional to 788.95, 1,088.74 and 457.57

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Solution

The fourth proportional to 788.95, 1,088.74 and 457.57 is: 631.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.95 : 1,088.74 = 457.57 : x
  2. Step 2: Convert to fraction form
    788.95/1,088.74 = 457.57/x
  3. Step 3: Cross multiply
    788.95x = 1,088.74 × 457.57
  4. Step 4: Simplify right side
    788.95x = 498,171.54
  5. Step 5: Solve for x
    x = 498,171.54/788.95
  6. Step 6: Final answer
    x = 631.44

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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.