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Finding the Fourth Proportional to 1,150.53, 1,587.49 and 653.05

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Solution

The fourth proportional to 1,150.53, 1,587.49 and 653.05 is: 901.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.53 : 1,587.49 = 653.05 : x
  2. Step 2: Convert to fraction form
    1,150.53/1,587.49 = 653.05/x
  3. Step 3: Cross multiply
    1,150.53x = 1,587.49 × 653.05
  4. Step 4: Simplify right side
    1,150.53x = 1,036,710.34
  5. Step 5: Solve for x
    x = 1,036,710.34/1,150.53
  6. Step 6: Final answer
    x = 901.07

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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.