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Finding the Fourth Proportional to 730.40, 1,007.86 and 415.62

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Solution

The fourth proportional to 730.40, 1,007.86 and 415.62 is: 573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.40 : 1,007.86 = 415.62 : x
  2. Step 2: Convert to fraction form
    730.40/1,007.86 = 415.62/x
  3. Step 3: Cross multiply
    730.40x = 1,007.86 × 415.62
  4. Step 4: Simplify right side
    730.40x = 418,886.77
  5. Step 5: Solve for x
    x = 418,886.77/730.40
  6. Step 6: Final answer
    x = 573.50

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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.