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Finding the Fourth Proportional to 770.01, 1,061.96 and 507.75

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Solution

The fourth proportional to 770.01, 1,061.96 and 507.75 is: 700.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.01 : 1,061.96 = 507.75 : x
  2. Step 2: Convert to fraction form
    770.01/1,061.96 = 507.75/x
  3. Step 3: Cross multiply
    770.01x = 1,061.96 × 507.75
  4. Step 4: Simplify right side
    770.01x = 539,207.65
  5. Step 5: Solve for x
    x = 539,207.65/770.01
  6. Step 6: Final answer
    x = 700.26

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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.