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Finding the Fourth Proportional to 805.02, 1,110.42 and 510.07

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Solution

The fourth proportional to 805.02, 1,110.42 and 510.07 is: 703.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.02 : 1,110.42 = 510.07 : x
  2. Step 2: Convert to fraction form
    805.02/1,110.42 = 510.07/x
  3. Step 3: Cross multiply
    805.02x = 1,110.42 × 510.07
  4. Step 4: Simplify right side
    805.02x = 566,391.93
  5. Step 5: Solve for x
    x = 566,391.93/805.02
  6. Step 6: Final answer
    x = 703.57

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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.