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Finding the Fourth Proportional to 786.56, 1,085.54 and 455.07

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Solution

The fourth proportional to 786.56, 1,085.54 and 455.07 is: 628.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.56 : 1,085.54 = 455.07 : x
  2. Step 2: Convert to fraction form
    786.56/1,085.54 = 455.07/x
  3. Step 3: Cross multiply
    786.56x = 1,085.54 × 455.07
  4. Step 4: Simplify right side
    786.56x = 493,994.41
  5. Step 5: Solve for x
    x = 493,994.41/786.56
  6. Step 6: Final answer
    x = 628.05

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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.