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Finding the Fourth Proportional to 1,009.48, 1,511.76 and 619.68

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Solution

The fourth proportional to 1,009.48, 1,511.76 and 619.68 is: 928.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,009.48 : 1,511.76 = 619.68 : x
  2. Step 2: Convert to fraction form
    1,009.48/1,511.76 = 619.68/x
  3. Step 3: Cross multiply
    1,009.48x = 1,511.76 × 619.68
  4. Step 4: Simplify right side
    1,009.48x = 936,807.44
  5. Step 5: Solve for x
    x = 936,807.44/1,009.48
  6. Step 6: Final answer
    x = 928.01

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Why These Related Problems?

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