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Finding the Fourth Proportional to 762.14, 1,051.83 and 430.58

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Solution

The fourth proportional to 762.14, 1,051.83 and 430.58 is: 594.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.14 : 1,051.83 = 430.58 : x
  2. Step 2: Convert to fraction form
    762.14/1,051.83 = 430.58/x
  3. Step 3: Cross multiply
    762.14x = 1,051.83 × 430.58
  4. Step 4: Simplify right side
    762.14x = 452,899.59
  5. Step 5: Solve for x
    x = 452,899.59/762.14
  6. Step 6: Final answer
    x = 594.25

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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.