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Finding the Fourth Proportional to 669.47, 1,009.26 and 561.94

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Solution

The fourth proportional to 669.47, 1,009.26 and 561.94 is: 847.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.47 : 1,009.26 = 561.94 : x
  2. Step 2: Convert to fraction form
    669.47/1,009.26 = 561.94/x
  3. Step 3: Cross multiply
    669.47x = 1,009.26 × 561.94
  4. Step 4: Simplify right side
    669.47x = 567,141.04
  5. Step 5: Solve for x
    x = 567,141.04/669.47
  6. Step 6: Final answer
    x = 847.16

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.