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Finding the Fourth Proportional to 1,027.60, 1,416.72 and 732.35

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Solution

The fourth proportional to 1,027.60, 1,416.72 and 732.35 is: 1,009.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027.60 : 1,416.72 = 732.35 : x
  2. Step 2: Convert to fraction form
    1,027.60/1,416.72 = 732.35/x
  3. Step 3: Cross multiply
    1,027.60x = 1,416.72 × 732.35
  4. Step 4: Simplify right side
    1,027.60x = 1,037,541.18
  5. Step 5: Solve for x
    x = 1,037,541.18/1,027.60
  6. Step 6: Final answer
    x = 1,009.68

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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.