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Finding the Fourth Proportional to 1,156.07, 1,594.69 and 714.42

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Solution

The fourth proportional to 1,156.07, 1,594.69 and 714.42 is: 985.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.07 : 1,594.69 = 714.42 : x
  2. Step 2: Convert to fraction form
    1,156.07/1,594.69 = 714.42/x
  3. Step 3: Cross multiply
    1,156.07x = 1,594.69 × 714.42
  4. Step 4: Simplify right side
    1,156.07x = 1,139,276.64
  5. Step 5: Solve for x
    x = 1,139,276.64/1,156.07
  6. Step 6: Final answer
    x = 985.47

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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.