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Finding the Fourth Proportional to 1,159.65, 1,599.80 and 693.63

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Solution

The fourth proportional to 1,159.65, 1,599.80 and 693.63 is: 956.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.65 : 1,599.80 = 693.63 : x
  2. Step 2: Convert to fraction form
    1,159.65/1,599.80 = 693.63/x
  3. Step 3: Cross multiply
    1,159.65x = 1,599.80 × 693.63
  4. Step 4: Simplify right side
    1,159.65x = 1,109,661.28
  5. Step 5: Solve for x
    x = 1,109,661.28/1,159.65
  6. Step 6: Final answer
    x = 956.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.