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Finding the Fourth Proportional to 728.47, 1,005.07 and 433.63

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Solution

The fourth proportional to 728.47, 1,005.07 and 433.63 is: 598.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.47 : 1,005.07 = 433.63 : x
  2. Step 2: Convert to fraction form
    728.47/1,005.07 = 433.63/x
  3. Step 3: Cross multiply
    728.47x = 1,005.07 × 433.63
  4. Step 4: Simplify right side
    728.47x = 435,828.50
  5. Step 5: Solve for x
    x = 435,828.50/728.47
  6. Step 6: Final answer
    x = 598.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.