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Finding the Fourth Proportional to 770.14, 1,153.70 and 509.35

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Solution

The fourth proportional to 770.14, 1,153.70 and 509.35 is: 763.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.14 : 1,153.70 = 509.35 : x
  2. Step 2: Convert to fraction form
    770.14/1,153.70 = 509.35/x
  3. Step 3: Cross multiply
    770.14x = 1,153.70 × 509.35
  4. Step 4: Simplify right side
    770.14x = 587,637.10
  5. Step 5: Solve for x
    x = 587,637.10/770.14
  6. Step 6: Final answer
    x = 763.03

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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.