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Finding the Fourth Proportional to 1,357.19, 2,036.27 and 535

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Solution

The fourth proportional to 1,357.19, 2,036.27 and 535 is: 802.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357.19 : 2,036.27 = 535 : x
  2. Step 2: Convert to fraction form
    1,357.19/2,036.27 = 535/x
  3. Step 3: Cross multiply
    1,357.19x = 2,036.27 × 535
  4. Step 4: Simplify right side
    1,357.19x = 1,089,401.78
  5. Step 5: Solve for x
    x = 1,089,401.78/1,357.19
  6. Step 6: Final answer
    x = 802.69

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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.