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Finding the Fourth Proportional to 753.85, 1,130.01 and 510.40

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Solution

The fourth proportional to 753.85, 1,130.01 and 510.40 is: 765.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    753.85 : 1,130.01 = 510.40 : x
  2. Step 2: Convert to fraction form
    753.85/1,130.01 = 510.40/x
  3. Step 3: Cross multiply
    753.85x = 1,130.01 × 510.40
  4. Step 4: Simplify right side
    753.85x = 576,757.10
  5. Step 5: Solve for x
    x = 576,757.10/753.85
  6. Step 6: Final answer
    x = 765.08

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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.