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Finding the Fourth Proportional to 1,117.08, 1,541.79 and 651.42

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Solution

The fourth proportional to 1,117.08, 1,541.79 and 651.42 is: 899.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.08 : 1,541.79 = 651.42 : x
  2. Step 2: Convert to fraction form
    1,117.08/1,541.79 = 651.42/x
  3. Step 3: Cross multiply
    1,117.08x = 1,541.79 × 651.42
  4. Step 4: Simplify right side
    1,117.08x = 1,004,352.84
  5. Step 5: Solve for x
    x = 1,004,352.84/1,117.08
  6. Step 6: Final answer
    x = 899.09

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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.