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Finding the Fourth Proportional to 975.10, 1,459.06 and 585.34

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Solution

The fourth proportional to 975.10, 1,459.06 and 585.34 is: 875.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    975.10 : 1,459.06 = 585.34 : x
  2. Step 2: Convert to fraction form
    975.10/1,459.06 = 585.34/x
  3. Step 3: Cross multiply
    975.10x = 1,459.06 × 585.34
  4. Step 4: Simplify right side
    975.10x = 854,039.61
  5. Step 5: Solve for x
    x = 854,039.61/975.10
  6. Step 6: Final answer
    x = 875.85

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Why These Related Problems?

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