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Finding the Fourth Proportional to 1,030.42, 1,544.91 and 509.79

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Solution

The fourth proportional to 1,030.42, 1,544.91 and 509.79 is: 764.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.42 : 1,544.91 = 509.79 : x
  2. Step 2: Convert to fraction form
    1,030.42/1,544.91 = 509.79/x
  3. Step 3: Cross multiply
    1,030.42x = 1,544.91 × 509.79
  4. Step 4: Simplify right side
    1,030.42x = 787,579.67
  5. Step 5: Solve for x
    x = 787,579.67/1,030.42
  6. Step 6: Final answer
    x = 764.33

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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.