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Finding the Fourth Proportional to 743.40, 1,114.29 and 454.50

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Solution

The fourth proportional to 743.40, 1,114.29 and 454.50 is: 681.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.40 : 1,114.29 = 454.50 : x
  2. Step 2: Convert to fraction form
    743.40/1,114.29 = 454.50/x
  3. Step 3: Cross multiply
    743.40x = 1,114.29 × 454.50
  4. Step 4: Simplify right side
    743.40x = 506,444.81
  5. Step 5: Solve for x
    x = 506,444.81/743.40
  6. Step 6: Final answer
    x = 681.25

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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.