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Finding the Fourth Proportional to 810.34, 1,215.51 and 647.26

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Solution

The fourth proportional to 810.34, 1,215.51 and 647.26 is: 970.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.34 : 1,215.51 = 647.26 : x
  2. Step 2: Convert to fraction form
    810.34/1,215.51 = 647.26/x
  3. Step 3: Cross multiply
    810.34x = 1,215.51 × 647.26
  4. Step 4: Simplify right side
    810.34x = 786,751.00
  5. Step 5: Solve for x
    x = 786,751.00/810.34
  6. Step 6: Final answer
    x = 970.89

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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.