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Finding the Fourth Proportional to 830.84, 1,246.55 and 522.34

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Solution

The fourth proportional to 830.84, 1,246.55 and 522.34 is: 783.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.84 : 1,246.55 = 522.34 : x
  2. Step 2: Convert to fraction form
    830.84/1,246.55 = 522.34/x
  3. Step 3: Cross multiply
    830.84x = 1,246.55 × 522.34
  4. Step 4: Simplify right side
    830.84x = 651,117.47
  5. Step 5: Solve for x
    x = 651,117.47/830.84
  6. Step 6: Final answer
    x = 783.68

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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.