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Finding the Fourth Proportional to 1,300.65, 1,949.60 and 606.51

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Solution

The fourth proportional to 1,300.65, 1,949.60 and 606.51 is: 909.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.65 : 1,949.60 = 606.51 : x
  2. Step 2: Convert to fraction form
    1,300.65/1,949.60 = 606.51/x
  3. Step 3: Cross multiply
    1,300.65x = 1,949.60 × 606.51
  4. Step 4: Simplify right side
    1,300.65x = 1,182,448.86
  5. Step 5: Solve for x
    x = 1,182,448.86/1,300.65
  6. Step 6: Final answer
    x = 909.12

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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.