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Finding the Fourth Proportional to 1,502.27, 2,253.06 and 577.49

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Solution

The fourth proportional to 1,502.27, 2,253.06 and 577.49 is: 866.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.27 : 2,253.06 = 577.49 : x
  2. Step 2: Convert to fraction form
    1,502.27/2,253.06 = 577.49/x
  3. Step 3: Cross multiply
    1,502.27x = 2,253.06 × 577.49
  4. Step 4: Simplify right side
    1,502.27x = 1,301,108.35
  5. Step 5: Solve for x
    x = 1,301,108.35/1,502.27
  6. Step 6: Final answer
    x = 866.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.