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Finding the Fourth Proportional to 753, 1,038.76 and 458.16

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Solution

The fourth proportional to 753, 1,038.76 and 458.16 is: 632.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    753 : 1,038.76 = 458.16 : x
  2. Step 2: Convert to fraction form
    753/1,038.76 = 458.16/x
  3. Step 3: Cross multiply
    753x = 1,038.76 × 458.16
  4. Step 4: Simplify right side
    753x = 475,918.28
  5. Step 5: Solve for x
    x = 475,918.28/753
  6. Step 6: Final answer
    x = 632.03

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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.