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Finding the Fourth Proportional to 890.46, 1,228.73 and 497.48

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Solution

The fourth proportional to 890.46, 1,228.73 and 497.48 is: 686.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.46 : 1,228.73 = 497.48 : x
  2. Step 2: Convert to fraction form
    890.46/1,228.73 = 497.48/x
  3. Step 3: Cross multiply
    890.46x = 1,228.73 × 497.48
  4. Step 4: Simplify right side
    890.46x = 611,259.97
  5. Step 5: Solve for x
    x = 611,259.97/890.46
  6. Step 6: Final answer
    x = 686.45

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Double scale
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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.