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Finding the Fourth Proportional to 730.77, 1,009.14 and 469.25

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Solution

The fourth proportional to 730.77, 1,009.14 and 469.25 is: 647.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.77 : 1,009.14 = 469.25 : x
  2. Step 2: Convert to fraction form
    730.77/1,009.14 = 469.25/x
  3. Step 3: Cross multiply
    730.77x = 1,009.14 × 469.25
  4. Step 4: Simplify right side
    730.77x = 473,533.90
  5. Step 5: Solve for x
    x = 473,533.90/730.77
  6. Step 6: Final answer
    x = 647.99

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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.