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Finding the Fourth Proportional to 1,040.48, 1,561.67 and 553.94

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Solution

The fourth proportional to 1,040.48, 1,561.67 and 553.94 is: 831.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.48 : 1,561.67 = 553.94 : x
  2. Step 2: Convert to fraction form
    1,040.48/1,561.67 = 553.94/x
  3. Step 3: Cross multiply
    1,040.48x = 1,561.67 × 553.94
  4. Step 4: Simplify right side
    1,040.48x = 865,068.71
  5. Step 5: Solve for x
    x = 865,068.71/1,040.48
  6. Step 6: Final answer
    x = 831.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.