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Finding the Fourth Proportional to 1,023.47, 1,411.82 and 669.28

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Solution

The fourth proportional to 1,023.47, 1,411.82 and 669.28 is: 923.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023.47 : 1,411.82 = 669.28 : x
  2. Step 2: Convert to fraction form
    1,023.47/1,411.82 = 669.28/x
  3. Step 3: Cross multiply
    1,023.47x = 1,411.82 × 669.28
  4. Step 4: Simplify right side
    1,023.47x = 944,902.89
  5. Step 5: Solve for x
    x = 944,902.89/1,023.47
  6. Step 6: Final answer
    x = 923.23

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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.