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Finding the Fourth Proportional to 748.40, 1,032.77 and 416.82

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Solution

The fourth proportional to 748.40, 1,032.77 and 416.82 is: 575.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.40 : 1,032.77 = 416.82 : x
  2. Step 2: Convert to fraction form
    748.40/1,032.77 = 416.82/x
  3. Step 3: Cross multiply
    748.40x = 1,032.77 × 416.82
  4. Step 4: Simplify right side
    748.40x = 430,477.11
  5. Step 5: Solve for x
    x = 430,477.11/748.40
  6. Step 6: Final answer
    x = 575.20

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1.5x scale

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.