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Finding the Fourth Proportional to 762.05, 1,051.60 and 430.46

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Solution

The fourth proportional to 762.05, 1,051.60 and 430.46 is: 594.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.05 : 1,051.60 = 430.46 : x
  2. Step 2: Convert to fraction form
    762.05/1,051.60 = 430.46/x
  3. Step 3: Cross multiply
    762.05x = 1,051.60 × 430.46
  4. Step 4: Simplify right side
    762.05x = 452,665.40
  5. Step 5: Solve for x
    x = 452,665.40/762.05
  6. Step 6: Final answer
    x = 594.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.