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Finding the Fourth Proportional to 1,200.65, 1,656.62 and 703.11

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Solution

The fourth proportional to 1,200.65, 1,656.62 and 703.11 is: 970.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.65 : 1,656.62 = 703.11 : x
  2. Step 2: Convert to fraction form
    1,200.65/1,656.62 = 703.11/x
  3. Step 3: Cross multiply
    1,200.65x = 1,656.62 × 703.11
  4. Step 4: Simplify right side
    1,200.65x = 1,164,782.57
  5. Step 5: Solve for x
    x = 1,164,782.57/1,200.65
  6. Step 6: Final answer
    x = 970.13

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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.