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Finding the Fourth Proportional to 1,005.08, 1,387.67 and 632.07

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Solution

The fourth proportional to 1,005.08, 1,387.67 and 632.07 is: 872.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.08 : 1,387.67 = 632.07 : x
  2. Step 2: Convert to fraction form
    1,005.08/1,387.67 = 632.07/x
  3. Step 3: Cross multiply
    1,005.08x = 1,387.67 × 632.07
  4. Step 4: Simplify right side
    1,005.08x = 877,101.42
  5. Step 5: Solve for x
    x = 877,101.42/1,005.08
  6. Step 6: Final answer
    x = 872.67

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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.