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Finding the Fourth Proportional to 830.50, 1,146.10 and 462.50

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Solution

The fourth proportional to 830.50, 1,146.10 and 462.50 is: 638.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.50 : 1,146.10 = 462.50 : x
  2. Step 2: Convert to fraction form
    830.50/1,146.10 = 462.50/x
  3. Step 3: Cross multiply
    830.50x = 1,146.10 × 462.50
  4. Step 4: Simplify right side
    830.50x = 530,071.25
  5. Step 5: Solve for x
    x = 530,071.25/830.50
  6. Step 6: Final answer
    x = 638.26

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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.