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Finding the Fourth Proportional to 1,159.24, 1,599.94 and 693.76

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Solution

The fourth proportional to 1,159.24, 1,599.94 and 693.76 is: 957.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.24 : 1,599.94 = 693.76 : x
  2. Step 2: Convert to fraction form
    1,159.24/1,599.94 = 693.76/x
  3. Step 3: Cross multiply
    1,159.24x = 1,599.94 × 693.76
  4. Step 4: Simplify right side
    1,159.24x = 1,109,974.37
  5. Step 5: Solve for x
    x = 1,109,974.37/1,159.24
  6. Step 6: Final answer
    x = 957.50

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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.