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Finding the Fourth Proportional to 1,216.02, 1,678.08 and 718.55

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Solution

The fourth proportional to 1,216.02, 1,678.08 and 718.55 is: 991.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.02 : 1,678.08 = 718.55 : x
  2. Step 2: Convert to fraction form
    1,216.02/1,678.08 = 718.55/x
  3. Step 3: Cross multiply
    1,216.02x = 1,678.08 × 718.55
  4. Step 4: Simplify right side
    1,216.02x = 1,205,784.38
  5. Step 5: Solve for x
    x = 1,205,784.38/1,216.02
  6. Step 6: Final answer
    x = 991.58

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1.5x scale

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.