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Finding the Fourth Proportional to 875.70, 1,313.64 and 784.98

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Solution

The fourth proportional to 875.70, 1,313.64 and 784.98 is: 1,177.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.70 : 1,313.64 = 784.98 : x
  2. Step 2: Convert to fraction form
    875.70/1,313.64 = 784.98/x
  3. Step 3: Cross multiply
    875.70x = 1,313.64 × 784.98
  4. Step 4: Simplify right side
    875.70x = 1,031,181.13
  5. Step 5: Solve for x
    x = 1,031,181.13/875.70
  6. Step 6: Final answer
    x = 1,177.55

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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.