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Finding the Fourth Proportional to 948.71, 1,419.93 and 509.29

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Solution

The fourth proportional to 948.71, 1,419.93 and 509.29 is: 762.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.71 : 1,419.93 = 509.29 : x
  2. Step 2: Convert to fraction form
    948.71/1,419.93 = 509.29/x
  3. Step 3: Cross multiply
    948.71x = 1,419.93 × 509.29
  4. Step 4: Simplify right side
    948.71x = 723,152.60
  5. Step 5: Solve for x
    x = 723,152.60/948.71
  6. Step 6: Final answer
    x = 762.25

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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.