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Finding the Fourth Proportional to 1,094.47, 1,509.99 and 701.71

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Solution

The fourth proportional to 1,094.47, 1,509.99 and 701.71 is: 968.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.47 : 1,509.99 = 701.71 : x
  2. Step 2: Convert to fraction form
    1,094.47/1,509.99 = 701.71/x
  3. Step 3: Cross multiply
    1,094.47x = 1,509.99 × 701.71
  4. Step 4: Simplify right side
    1,094.47x = 1,059,575.08
  5. Step 5: Solve for x
    x = 1,059,575.08/1,094.47
  6. Step 6: Final answer
    x = 968.12

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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.