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Finding the Fourth Proportional to 971.85, 1,457.77 and 560.72

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Solution

The fourth proportional to 971.85, 1,457.77 and 560.72 is: 841.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.85 : 1,457.77 = 560.72 : x
  2. Step 2: Convert to fraction form
    971.85/1,457.77 = 560.72/x
  3. Step 3: Cross multiply
    971.85x = 1,457.77 × 560.72
  4. Step 4: Simplify right side
    971.85x = 817,403.04
  5. Step 5: Solve for x
    x = 817,403.04/971.85
  6. Step 6: Final answer
    x = 841.08

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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.