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Finding the Fourth Proportional to 703.60, 1,053.99 and 653.02

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Solution

The fourth proportional to 703.60, 1,053.99 and 653.02 is: 978.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.60 : 1,053.99 = 653.02 : x
  2. Step 2: Convert to fraction form
    703.60/1,053.99 = 653.02/x
  3. Step 3: Cross multiply
    703.60x = 1,053.99 × 653.02
  4. Step 4: Simplify right side
    703.60x = 688,276.55
  5. Step 5: Solve for x
    x = 688,276.55/703.60
  6. Step 6: Final answer
    x = 978.22

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