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Finding the Fourth Proportional to 971.58, 1,457.85 and 711.84

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Solution

The fourth proportional to 971.58, 1,457.85 and 711.84 is: 1,068.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.58 : 1,457.85 = 711.84 : x
  2. Step 2: Convert to fraction form
    971.58/1,457.85 = 711.84/x
  3. Step 3: Cross multiply
    971.58x = 1,457.85 × 711.84
  4. Step 4: Simplify right side
    971.58x = 1,037,755.94
  5. Step 5: Solve for x
    x = 1,037,755.94/971.58
  6. Step 6: Final answer
    x = 1,068.11

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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.