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Finding the Fourth Proportional to 830.41, 1,146.06 and 536.53

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Solution

The fourth proportional to 830.41, 1,146.06 and 536.53 is: 740.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.41 : 1,146.06 = 536.53 : x
  2. Step 2: Convert to fraction form
    830.41/1,146.06 = 536.53/x
  3. Step 3: Cross multiply
    830.41x = 1,146.06 × 536.53
  4. Step 4: Simplify right side
    830.41x = 614,891.18
  5. Step 5: Solve for x
    x = 614,891.18/830.41
  6. Step 6: Final answer
    x = 740.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.