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Finding the Fourth Proportional to 750.53, 1,035.43 and 514.10

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Solution

The fourth proportional to 750.53, 1,035.43 and 514.10 is: 709.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.53 : 1,035.43 = 514.10 : x
  2. Step 2: Convert to fraction form
    750.53/1,035.43 = 514.10/x
  3. Step 3: Cross multiply
    750.53x = 1,035.43 × 514.10
  4. Step 4: Simplify right side
    750.53x = 532,315.87
  5. Step 5: Solve for x
    x = 532,315.87/750.53
  6. Step 6: Final answer
    x = 709.25

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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.