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Finding the Fourth Proportional to 830.76, 1,244.70 and 501.06

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Solution

The fourth proportional to 830.76, 1,244.70 and 501.06 is: 750.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.76 : 1,244.70 = 501.06 : x
  2. Step 2: Convert to fraction form
    830.76/1,244.70 = 501.06/x
  3. Step 3: Cross multiply
    830.76x = 1,244.70 × 501.06
  4. Step 4: Simplify right side
    830.76x = 623,669.38
  5. Step 5: Solve for x
    x = 623,669.38/830.76
  6. Step 6: Final answer
    x = 750.72

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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.