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Finding the Fourth Proportional to 1,113.24, 1,670.94 and 536.52

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Solution

The fourth proportional to 1,113.24, 1,670.94 and 536.52 is: 805.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.24 : 1,670.94 = 536.52 : x
  2. Step 2: Convert to fraction form
    1,113.24/1,670.94 = 536.52/x
  3. Step 3: Cross multiply
    1,113.24x = 1,670.94 × 536.52
  4. Step 4: Simplify right side
    1,113.24x = 896,492.73
  5. Step 5: Solve for x
    x = 896,492.73/1,113.24
  6. Step 6: Final answer
    x = 805.30

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Why These Related Problems?

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