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Finding the Fourth Proportional to 1,312.34, 1,810.98 and 722.86

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Solution

The fourth proportional to 1,312.34, 1,810.98 and 722.86 is: 997.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.34 : 1,810.98 = 722.86 : x
  2. Step 2: Convert to fraction form
    1,312.34/1,810.98 = 722.86/x
  3. Step 3: Cross multiply
    1,312.34x = 1,810.98 × 722.86
  4. Step 4: Simplify right side
    1,312.34x = 1,309,080.48
  5. Step 5: Solve for x
    x = 1,309,080.48/1,312.34
  6. Step 6: Final answer
    x = 997.52

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