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Finding the Fourth Proportional to 705.18, 973.42 and 631.37

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Solution

The fourth proportional to 705.18, 973.42 and 631.37 is: 871.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    705.18 : 973.42 = 631.37 : x
  2. Step 2: Convert to fraction form
    705.18/973.42 = 631.37/x
  3. Step 3: Cross multiply
    705.18x = 973.42 × 631.37
  4. Step 4: Simplify right side
    705.18x = 614,581.74
  5. Step 5: Solve for x
    x = 614,581.74/705.18
  6. Step 6: Final answer
    x = 871.52

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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.