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Finding the Fourth Proportional to 1,039.61, 1,549.29 and 1,009.63

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Solution

The fourth proportional to 1,039.61, 1,549.29 and 1,009.63 is: 1,504.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.61 : 1,549.29 = 1,009.63 : x
  2. Step 2: Convert to fraction form
    1,039.61/1,549.29 = 1,009.63/x
  3. Step 3: Cross multiply
    1,039.61x = 1,549.29 × 1,009.63
  4. Step 4: Simplify right side
    1,039.61x = 1,564,196.87
  5. Step 5: Solve for x
    x = 1,564,196.87/1,039.61
  6. Step 6: Final answer
    x = 1,504.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.