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Finding the Fourth Proportional to 1,210.37, 1,670.40 and 686.41

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Solution

The fourth proportional to 1,210.37, 1,670.40 and 686.41 is: 947.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.37 : 1,670.40 = 686.41 : x
  2. Step 2: Convert to fraction form
    1,210.37/1,670.40 = 686.41/x
  3. Step 3: Cross multiply
    1,210.37x = 1,670.40 × 686.41
  4. Step 4: Simplify right side
    1,210.37x = 1,146,575.09
  5. Step 5: Solve for x
    x = 1,146,575.09/1,210.37
  6. Step 6: Final answer
    x = 947.30

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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.