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Finding the Fourth Proportional to 746.84, 1,030.65 and 410.75

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Solution

The fourth proportional to 746.84, 1,030.65 and 410.75 is: 566.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.84 : 1,030.65 = 410.75 : x
  2. Step 2: Convert to fraction form
    746.84/1,030.65 = 410.75/x
  3. Step 3: Cross multiply
    746.84x = 1,030.65 × 410.75
  4. Step 4: Simplify right side
    746.84x = 423,339.49
  5. Step 5: Solve for x
    x = 423,339.49/746.84
  6. Step 6: Final answer
    x = 566.84

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Double scale
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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.