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Finding the Fourth Proportional to 826.66, 1,140.69 and 507.48

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Solution

The fourth proportional to 826.66, 1,140.69 and 507.48 is: 700.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.66 : 1,140.69 = 507.48 : x
  2. Step 2: Convert to fraction form
    826.66/1,140.69 = 507.48/x
  3. Step 3: Cross multiply
    826.66x = 1,140.69 × 507.48
  4. Step 4: Simplify right side
    826.66x = 578,877.36
  5. Step 5: Solve for x
    x = 578,877.36/826.66
  6. Step 6: Final answer
    x = 700.26

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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.