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Finding the Fourth Proportional to 785.30, 1,083.60 and 470.57

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Solution

The fourth proportional to 785.30, 1,083.60 and 470.57 is: 649.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.30 : 1,083.60 = 470.57 : x
  2. Step 2: Convert to fraction form
    785.30/1,083.60 = 470.57/x
  3. Step 3: Cross multiply
    785.30x = 1,083.60 × 470.57
  4. Step 4: Simplify right side
    785.30x = 509,904.23
  5. Step 5: Solve for x
    x = 509,904.23/785.30
  6. Step 6: Final answer
    x = 649.32

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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.