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Finding the Fourth Proportional to 1,154.76, 1,594.74 and 874.50

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Solution

The fourth proportional to 1,154.76, 1,594.74 and 874.50 is: 1,207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.76 : 1,594.74 = 874.50 : x
  2. Step 2: Convert to fraction form
    1,154.76/1,594.74 = 874.50/x
  3. Step 3: Cross multiply
    1,154.76x = 1,594.74 × 874.50
  4. Step 4: Simplify right side
    1,154.76x = 1,394,600.13
  5. Step 5: Solve for x
    x = 1,394,600.13/1,154.76
  6. Step 6: Final answer
    x = 1,207.70

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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.