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Finding the Fourth Proportional to 1,150.64, 1,587.95 and 653.30

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Solution

The fourth proportional to 1,150.64, 1,587.95 and 653.30 is: 901.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,150.64 : 1,587.95 = 653.30 : x
  2. Step 2: Convert to fraction form
    1,150.64/1,587.95 = 653.30/x
  3. Step 3: Cross multiply
    1,150.64x = 1,587.95 × 653.30
  4. Step 4: Simplify right side
    1,150.64x = 1,037,396.53
  5. Step 5: Solve for x
    x = 1,037,396.53/1,150.64
  6. Step 6: Final answer
    x = 901.59

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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.