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Finding the Fourth Proportional to 1,053.42, 1,453.59 and 703.50

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Solution

The fourth proportional to 1,053.42, 1,453.59 and 703.50 is: 970.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.42 : 1,453.59 = 703.50 : x
  2. Step 2: Convert to fraction form
    1,053.42/1,453.59 = 703.50/x
  3. Step 3: Cross multiply
    1,053.42x = 1,453.59 × 703.50
  4. Step 4: Simplify right side
    1,053.42x = 1,022,600.57
  5. Step 5: Solve for x
    x = 1,022,600.57/1,053.42
  6. Step 6: Final answer
    x = 970.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.