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Finding the Fourth Proportional to 785.41, 1,178.36 and 473.40

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Solution

The fourth proportional to 785.41, 1,178.36 and 473.40 is: 710.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.41 : 1,178.36 = 473.40 : x
  2. Step 2: Convert to fraction form
    785.41/1,178.36 = 473.40/x
  3. Step 3: Cross multiply
    785.41x = 1,178.36 × 473.40
  4. Step 4: Simplify right side
    785.41x = 557,835.62
  5. Step 5: Solve for x
    x = 557,835.62/785.41
  6. Step 6: Final answer
    x = 710.25

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1.5x scale

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.