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Finding the Fourth Proportional to 586.12, 810.14 and 514.12

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Solution

The fourth proportional to 586.12, 810.14 and 514.12 is: 710.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.12 : 810.14 = 514.12 : x
  2. Step 2: Convert to fraction form
    586.12/810.14 = 514.12/x
  3. Step 3: Cross multiply
    586.12x = 810.14 × 514.12
  4. Step 4: Simplify right side
    586.12x = 416,509.18
  5. Step 5: Solve for x
    x = 416,509.18/586.12
  6. Step 6: Final answer
    x = 710.62

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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.