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Finding the Fourth Proportional to 890.40, 1,228.67 and 497.46

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Solution

The fourth proportional to 890.40, 1,228.67 and 497.46 is: 686.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.40 : 1,228.67 = 497.46 : x
  2. Step 2: Convert to fraction form
    890.40/1,228.67 = 497.46/x
  3. Step 3: Cross multiply
    890.40x = 1,228.67 × 497.46
  4. Step 4: Simplify right side
    890.40x = 611,214.18
  5. Step 5: Solve for x
    x = 611,214.18/890.40
  6. Step 6: Final answer
    x = 686.45

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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.