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Finding the Fourth Proportional to 757.55, 1,045.64 and 509.42

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Solution

The fourth proportional to 757.55, 1,045.64 and 509.42 is: 703.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.55 : 1,045.64 = 509.42 : x
  2. Step 2: Convert to fraction form
    757.55/1,045.64 = 509.42/x
  3. Step 3: Cross multiply
    757.55x = 1,045.64 × 509.42
  4. Step 4: Simplify right side
    757.55x = 532,669.93
  5. Step 5: Solve for x
    x = 532,669.93/757.55
  6. Step 6: Final answer
    x = 703.15

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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.