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Finding the Fourth Proportional to 945.56, 1,416.50 and 458.94

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Solution

The fourth proportional to 945.56, 1,416.50 and 458.94 is: 687.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.56 : 1,416.50 = 458.94 : x
  2. Step 2: Convert to fraction form
    945.56/1,416.50 = 458.94/x
  3. Step 3: Cross multiply
    945.56x = 1,416.50 × 458.94
  4. Step 4: Simplify right side
    945.56x = 650,088.51
  5. Step 5: Solve for x
    x = 650,088.51/945.56
  6. Step 6: Final answer
    x = 687.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.