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Finding the Fourth Proportional to 788.70, 1,088.76 and 494.10

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Solution

The fourth proportional to 788.70, 1,088.76 and 494.10 is: 682.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.70 : 1,088.76 = 494.10 : x
  2. Step 2: Convert to fraction form
    788.70/1,088.76 = 494.10/x
  3. Step 3: Cross multiply
    788.70x = 1,088.76 × 494.10
  4. Step 4: Simplify right side
    788.70x = 537,956.32
  5. Step 5: Solve for x
    x = 537,956.32/788.70
  6. Step 6: Final answer
    x = 682.08

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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.