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Finding the Fourth Proportional to 948.56, 1,308.65 and 700.47

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Solution

The fourth proportional to 948.56, 1,308.65 and 700.47 is: 966.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.56 : 1,308.65 = 700.47 : x
  2. Step 2: Convert to fraction form
    948.56/1,308.65 = 700.47/x
  3. Step 3: Cross multiply
    948.56x = 1,308.65 × 700.47
  4. Step 4: Simplify right side
    948.56x = 916,666.56
  5. Step 5: Solve for x
    x = 916,666.56/948.56
  6. Step 6: Final answer
    x = 966.38

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Why These Related Problems?

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