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Finding the Fourth Proportional to 973.32, 1,465.71 and 701.31

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Solution

The fourth proportional to 973.32, 1,465.71 and 701.31 is: 1,056.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.32 : 1,465.71 = 701.31 : x
  2. Step 2: Convert to fraction form
    973.32/1,465.71 = 701.31/x
  3. Step 3: Cross multiply
    973.32x = 1,465.71 × 701.31
  4. Step 4: Simplify right side
    973.32x = 1,027,917.08
  5. Step 5: Solve for x
    x = 1,027,917.08/973.32
  6. Step 6: Final answer
    x = 1,056.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.