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Finding the Fourth Proportional to 746.51, 1,030.09 and 414.91

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Solution

The fourth proportional to 746.51, 1,030.09 and 414.91 is: 572.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.51 : 1,030.09 = 414.91 : x
  2. Step 2: Convert to fraction form
    746.51/1,030.09 = 414.91/x
  3. Step 3: Cross multiply
    746.51x = 1,030.09 × 414.91
  4. Step 4: Simplify right side
    746.51x = 427,387.42
  5. Step 5: Solve for x
    x = 427,387.42/746.51
  6. Step 6: Final answer
    x = 572.51

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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.