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Finding the Fourth Proportional to 1,133.76, 1,689.98 and 1,009.72

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Solution

The fourth proportional to 1,133.76, 1,689.98 and 1,009.72 is: 1,505.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.76 : 1,689.98 = 1,009.72 : x
  2. Step 2: Convert to fraction form
    1,133.76/1,689.98 = 1,009.72/x
  3. Step 3: Cross multiply
    1,133.76x = 1,689.98 × 1,009.72
  4. Step 4: Simplify right side
    1,133.76x = 1,706,406.61
  5. Step 5: Solve for x
    x = 1,706,406.61/1,133.76
  6. Step 6: Final answer
    x = 1,505.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.