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Finding the Fourth Proportional to 890.14, 1,228.28 and 497.16

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Solution

The fourth proportional to 890.14, 1,228.28 and 497.16 is: 686.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.14 : 1,228.28 = 497.16 : x
  2. Step 2: Convert to fraction form
    890.14/1,228.28 = 497.16/x
  3. Step 3: Cross multiply
    890.14x = 1,228.28 × 497.16
  4. Step 4: Simplify right side
    890.14x = 610,651.68
  5. Step 5: Solve for x
    x = 610,651.68/890.14
  6. Step 6: Final answer
    x = 686.02

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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.