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Finding the Fourth Proportional to 1,133.16, 1,564.50 and 923.84

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Solution

The fourth proportional to 1,133.16, 1,564.50 and 923.84 is: 1,275.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.16 : 1,564.50 = 923.84 : x
  2. Step 2: Convert to fraction form
    1,133.16/1,564.50 = 923.84/x
  3. Step 3: Cross multiply
    1,133.16x = 1,564.50 × 923.84
  4. Step 4: Simplify right side
    1,133.16x = 1,445,347.68
  5. Step 5: Solve for x
    x = 1,445,347.68/1,133.16
  6. Step 6: Final answer
    x = 1,275.50

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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.