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Finding the Fourth Proportional to 972.57, 1,458.33 and 509.23

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Solution

The fourth proportional to 972.57, 1,458.33 and 509.23 is: 763.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.57 : 1,458.33 = 509.23 : x
  2. Step 2: Convert to fraction form
    972.57/1,458.33 = 509.23/x
  3. Step 3: Cross multiply
    972.57x = 1,458.33 × 509.23
  4. Step 4: Simplify right side
    972.57x = 742,625.39
  5. Step 5: Solve for x
    x = 742,625.39/972.57
  6. Step 6: Final answer
    x = 763.57

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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.