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Finding the Fourth Proportional to 1,210.52, 1,670.55 and 686.63

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Solution

The fourth proportional to 1,210.52, 1,670.55 and 686.63 is: 947.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.52 : 1,670.55 = 686.63 : x
  2. Step 2: Convert to fraction form
    1,210.52/1,670.55 = 686.63/x
  3. Step 3: Cross multiply
    1,210.52x = 1,670.55 × 686.63
  4. Step 4: Simplify right side
    1,210.52x = 1,147,049.75
  5. Step 5: Solve for x
    x = 1,147,049.75/1,210.52
  6. Step 6: Final answer
    x = 947.57

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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.