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Finding the Fourth Proportional to 890.44, 1,229 and 497.46

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Solution

The fourth proportional to 890.44, 1,229 and 497.46 is: 686.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.44 : 1,229 = 497.46 : x
  2. Step 2: Convert to fraction form
    890.44/1,229 = 497.46/x
  3. Step 3: Cross multiply
    890.44x = 1,229 × 497.46
  4. Step 4: Simplify right side
    890.44x = 611,378.34
  5. Step 5: Solve for x
    x = 611,378.34/890.44
  6. Step 6: Final answer
    x = 686.60

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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.