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Finding the Fourth Proportional to 1,007.03, 1,389.71 and 587.67

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Solution

The fourth proportional to 1,007.03, 1,389.71 and 587.67 is: 810.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.03 : 1,389.71 = 587.67 : x
  2. Step 2: Convert to fraction form
    1,007.03/1,389.71 = 587.67/x
  3. Step 3: Cross multiply
    1,007.03x = 1,389.71 × 587.67
  4. Step 4: Simplify right side
    1,007.03x = 816,691.41
  5. Step 5: Solve for x
    x = 816,691.41/1,007.03
  6. Step 6: Final answer
    x = 810.99

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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.