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Finding the Fourth Proportional to 934.50, 1,289.58 and 514.86

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Solution

The fourth proportional to 934.50, 1,289.58 and 514.86 is: 710.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.50 : 1,289.58 = 514.86 : x
  2. Step 2: Convert to fraction form
    934.50/1,289.58 = 514.86/x
  3. Step 3: Cross multiply
    934.50x = 1,289.58 × 514.86
  4. Step 4: Simplify right side
    934.50x = 663,953.16
  5. Step 5: Solve for x
    x = 663,953.16/934.50
  6. Step 6: Final answer
    x = 710.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.