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Finding the Fourth Proportional to 1,325.87, 1,987.77 and 535.13

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Solution

The fourth proportional to 1,325.87, 1,987.77 and 535.13 is: 802.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,325.87 : 1,987.77 = 535.13 : x
  2. Step 2: Convert to fraction form
    1,325.87/1,987.77 = 535.13/x
  3. Step 3: Cross multiply
    1,325.87x = 1,987.77 × 535.13
  4. Step 4: Simplify right side
    1,325.87x = 1,063,715.36
  5. Step 5: Solve for x
    x = 1,063,715.36/1,325.87
  6. Step 6: Final answer
    x = 802.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.