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Finding the Fourth Proportional to 1,483.63, 2,225.76 and 509.47

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Solution

The fourth proportional to 1,483.63, 2,225.76 and 509.47 is: 764.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.63 : 2,225.76 = 509.47 : x
  2. Step 2: Convert to fraction form
    1,483.63/2,225.76 = 509.47/x
  3. Step 3: Cross multiply
    1,483.63x = 2,225.76 × 509.47
  4. Step 4: Simplify right side
    1,483.63x = 1,133,957.95
  5. Step 5: Solve for x
    x = 1,133,957.95/1,483.63
  6. Step 6: Final answer
    x = 764.31

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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.