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Finding the Fourth Proportional to 1,007.32, 1,510.08 and 641.08

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Solution

The fourth proportional to 1,007.32, 1,510.08 and 641.08 is: 961.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.32 : 1,510.08 = 641.08 : x
  2. Step 2: Convert to fraction form
    1,007.32/1,510.08 = 641.08/x
  3. Step 3: Cross multiply
    1,007.32x = 1,510.08 × 641.08
  4. Step 4: Simplify right side
    1,007.32x = 968,082.09
  5. Step 5: Solve for x
    x = 968,082.09/1,007.32
  6. Step 6: Final answer
    x = 961.05

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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.