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Finding the Fourth Proportional to 1,483.29, 2,225.10 and 509.18

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Solution

The fourth proportional to 1,483.29, 2,225.10 and 509.18 is: 763.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,483.29 : 2,225.10 = 509.18 : x
  2. Step 2: Convert to fraction form
    1,483.29/2,225.10 = 509.18/x
  3. Step 3: Cross multiply
    1,483.29x = 2,225.10 × 509.18
  4. Step 4: Simplify right side
    1,483.29x = 1,132,965.29
  5. Step 5: Solve for x
    x = 1,132,965.29/1,483.29
  6. Step 6: Final answer
    x = 763.82

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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.