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Finding the Fourth Proportional to 1,164.04, 1,599.56 and 930.76

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Solution

The fourth proportional to 1,164.04, 1,599.56 and 930.76 is: 1,279.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.04 : 1,599.56 = 930.76 : x
  2. Step 2: Convert to fraction form
    1,164.04/1,599.56 = 930.76/x
  3. Step 3: Cross multiply
    1,164.04x = 1,599.56 × 930.76
  4. Step 4: Simplify right side
    1,164.04x = 1,488,806.47
  5. Step 5: Solve for x
    x = 1,488,806.47/1,164.04
  6. Step 6: Final answer
    x = 1,279.00

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.