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Finding the Fourth Proportional to 930.84, 1,287.84 and 814.74

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Solution

The fourth proportional to 930.84, 1,287.84 and 814.74 is: 1,127.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.84 : 1,287.84 = 814.74 : x
  2. Step 2: Convert to fraction form
    930.84/1,287.84 = 814.74/x
  3. Step 3: Cross multiply
    930.84x = 1,287.84 × 814.74
  4. Step 4: Simplify right side
    930.84x = 1,049,254.76
  5. Step 5: Solve for x
    x = 1,049,254.76/930.84
  6. Step 6: Final answer
    x = 1,127.21

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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.