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Finding the Fourth Proportional to 1,210.84, 1,670.91 and 686.86

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Solution

The fourth proportional to 1,210.84, 1,670.91 and 686.86 is: 947.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,210.84 : 1,670.91 = 686.86 : x
  2. Step 2: Convert to fraction form
    1,210.84/1,670.91 = 686.86/x
  3. Step 3: Cross multiply
    1,210.84x = 1,670.91 × 686.86
  4. Step 4: Simplify right side
    1,210.84x = 1,147,681.24
  5. Step 5: Solve for x
    x = 1,147,681.24/1,210.84
  6. Step 6: Final answer
    x = 947.84

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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.