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Finding the Fourth Proportional to 1,134.58, 1,566.64 and 924.78

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Solution

The fourth proportional to 1,134.58, 1,566.64 and 924.78 is: 1,276.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.58 : 1,566.64 = 924.78 : x
  2. Step 2: Convert to fraction form
    1,134.58/1,566.64 = 924.78/x
  3. Step 3: Cross multiply
    1,134.58x = 1,566.64 × 924.78
  4. Step 4: Simplify right side
    1,134.58x = 1,448,797.34
  5. Step 5: Solve for x
    x = 1,448,797.34/1,134.58
  6. Step 6: Final answer
    x = 1,276.95

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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.