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Finding the Fourth Proportional to 1,208.08, 1,666.86 and 710.74

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Solution

The fourth proportional to 1,208.08, 1,666.86 and 710.74 is: 980.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.08 : 1,666.86 = 710.74 : x
  2. Step 2: Convert to fraction form
    1,208.08/1,666.86 = 710.74/x
  3. Step 3: Cross multiply
    1,208.08x = 1,666.86 × 710.74
  4. Step 4: Simplify right side
    1,208.08x = 1,184,695.74
  5. Step 5: Solve for x
    x = 1,184,695.74/1,208.08
  6. Step 6: Final answer
    x = 980.65

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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.