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Finding the Fourth Proportional to 1,134.33, 1,564.98 and 714.72

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Solution

The fourth proportional to 1,134.33, 1,564.98 and 714.72 is: 986.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,134.33 : 1,564.98 = 714.72 : x
  2. Step 2: Convert to fraction form
    1,134.33/1,564.98 = 714.72/x
  3. Step 3: Cross multiply
    1,134.33x = 1,564.98 × 714.72
  4. Step 4: Simplify right side
    1,134.33x = 1,118,513.96
  5. Step 5: Solve for x
    x = 1,118,513.96/1,134.33
  6. Step 6: Final answer
    x = 986.06

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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.