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Finding the Fourth Proportional to 1,152.32, 1,727.29 and 535.52

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Solution

The fourth proportional to 1,152.32, 1,727.29 and 535.52 is: 802.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,152.32 : 1,727.29 = 535.52 : x
  2. Step 2: Convert to fraction form
    1,152.32/1,727.29 = 535.52/x
  3. Step 3: Cross multiply
    1,152.32x = 1,727.29 × 535.52
  4. Step 4: Simplify right side
    1,152.32x = 924,998.34
  5. Step 5: Solve for x
    x = 924,998.34/1,152.32
  6. Step 6: Final answer
    x = 802.73

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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.