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Finding the Fourth Proportional to 1,180.61, 1,628.76 and 714.05

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Solution

The fourth proportional to 1,180.61, 1,628.76 and 714.05 is: 985.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.61 : 1,628.76 = 714.05 : x
  2. Step 2: Convert to fraction form
    1,180.61/1,628.76 = 714.05/x
  3. Step 3: Cross multiply
    1,180.61x = 1,628.76 × 714.05
  4. Step 4: Simplify right side
    1,180.61x = 1,163,004.36
  5. Step 5: Solve for x
    x = 1,163,004.36/1,180.61
  6. Step 6: Final answer
    x = 985.09

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1.5x scale

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.