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Finding the Fourth Proportional to 762.06, 1,051.65 and 412.75

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Solution

The fourth proportional to 762.06, 1,051.65 and 412.75 is: 569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.06 : 1,051.65 = 412.75 : x
  2. Step 2: Convert to fraction form
    762.06/1,051.65 = 412.75/x
  3. Step 3: Cross multiply
    762.06x = 1,051.65 × 412.75
  4. Step 4: Simplify right side
    762.06x = 434,068.54
  5. Step 5: Solve for x
    x = 434,068.54/762.06
  6. Step 6: Final answer
    x = 569.60

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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.