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Finding the Fourth Proportional to 730.65, 1,006.59 and 509.21

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Solution

The fourth proportional to 730.65, 1,006.59 and 509.21 is: 701.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.65 : 1,006.59 = 509.21 : x
  2. Step 2: Convert to fraction form
    730.65/1,006.59 = 509.21/x
  3. Step 3: Cross multiply
    730.65x = 1,006.59 × 509.21
  4. Step 4: Simplify right side
    730.65x = 512,565.69
  5. Step 5: Solve for x
    x = 512,565.69/730.65
  6. Step 6: Final answer
    x = 701.52

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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.