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Finding the Fourth Proportional to 1,165.32, 1,746.36 and 587.52

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Solution

The fourth proportional to 1,165.32, 1,746.36 and 587.52 is: 880.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.32 : 1,746.36 = 587.52 : x
  2. Step 2: Convert to fraction form
    1,165.32/1,746.36 = 587.52/x
  3. Step 3: Cross multiply
    1,165.32x = 1,746.36 × 587.52
  4. Step 4: Simplify right side
    1,165.32x = 1,026,021.43
  5. Step 5: Solve for x
    x = 1,026,021.43/1,165.32
  6. Step 6: Final answer
    x = 880.46

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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.