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Finding the Fourth Proportional to 1,156.24, 1,595.46 and 714.04

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Solution

The fourth proportional to 1,156.24, 1,595.46 and 714.04 is: 985.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.24 : 1,595.46 = 714.04 : x
  2. Step 2: Convert to fraction form
    1,156.24/1,595.46 = 714.04/x
  3. Step 3: Cross multiply
    1,156.24x = 1,595.46 × 714.04
  4. Step 4: Simplify right side
    1,156.24x = 1,139,222.26
  5. Step 5: Solve for x
    x = 1,139,222.26/1,156.24
  6. Step 6: Final answer
    x = 985.28

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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.