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Finding the Fourth Proportional to 924.74, 1,276.30 and 883.22

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Solution

The fourth proportional to 924.74, 1,276.30 and 883.22 is: 1,219.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.74 : 1,276.30 = 883.22 : x
  2. Step 2: Convert to fraction form
    924.74/1,276.30 = 883.22/x
  3. Step 3: Cross multiply
    924.74x = 1,276.30 × 883.22
  4. Step 4: Simplify right side
    924.74x = 1,127,253.69
  5. Step 5: Solve for x
    x = 1,127,253.69/924.74
  6. Step 6: Final answer
    x = 1,219.00

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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.