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Finding the Fourth Proportional to 1,210.52, 1,670.50 and 686.55

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Solution

The fourth proportional to 1,210.52, 1,670.50 and 686.55 is: 947.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.52 : 1,670.50 = 686.55 : x
  2. Step 2: Convert to fraction form
    1,210.52/1,670.50 = 686.55/x
  3. Step 3: Cross multiply
    1,210.52x = 1,670.50 × 686.55
  4. Step 4: Simplify right side
    1,210.52x = 1,146,881.78
  5. Step 5: Solve for x
    x = 1,146,881.78/1,210.52
  6. Step 6: Final answer
    x = 947.43

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