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Finding the Fourth Proportional to 1,117.24, 1,676.68 and 631.24

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Solution

The fourth proportional to 1,117.24, 1,676.68 and 631.24 is: 947.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.24 : 1,676.68 = 631.24 : x
  2. Step 2: Convert to fraction form
    1,117.24/1,676.68 = 631.24/x
  3. Step 3: Cross multiply
    1,117.24x = 1,676.68 × 631.24
  4. Step 4: Simplify right side
    1,117.24x = 1,058,387.48
  5. Step 5: Solve for x
    x = 1,058,387.48/1,117.24
  6. Step 6: Final answer
    x = 947.32

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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.