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Finding the Fourth Proportional to 1,117.02, 1,541.49 and 651.27

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Solution

The fourth proportional to 1,117.02, 1,541.49 and 651.27 is: 898.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.02 : 1,541.49 = 651.27 : x
  2. Step 2: Convert to fraction form
    1,117.02/1,541.49 = 651.27/x
  3. Step 3: Cross multiply
    1,117.02x = 1,541.49 × 651.27
  4. Step 4: Simplify right side
    1,117.02x = 1,003,926.19
  5. Step 5: Solve for x
    x = 1,003,926.19/1,117.02
  6. Step 6: Final answer
    x = 898.75

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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.