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Finding the Fourth Proportional to 1,210.29, 1,670.58 and 686.67

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Solution

The fourth proportional to 1,210.29, 1,670.58 and 686.67 is: 947.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.29 : 1,670.58 = 686.67 : x
  2. Step 2: Convert to fraction form
    1,210.29/1,670.58 = 686.67/x
  3. Step 3: Cross multiply
    1,210.29x = 1,670.58 × 686.67
  4. Step 4: Simplify right side
    1,210.29x = 1,147,137.17
  5. Step 5: Solve for x
    x = 1,147,137.17/1,210.29
  6. Step 6: Final answer
    x = 947.82

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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.