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Finding the Fourth Proportional to 1,000.77, 1,381.13 and 558.76

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Solution

The fourth proportional to 1,000.77, 1,381.13 and 558.76 is: 771.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,000.77 : 1,381.13 = 558.76 : x
  2. Step 2: Convert to fraction form
    1,000.77/1,381.13 = 558.76/x
  3. Step 3: Cross multiply
    1,000.77x = 1,381.13 × 558.76
  4. Step 4: Simplify right side
    1,000.77x = 771,710.50
  5. Step 5: Solve for x
    x = 771,710.50/1,000.77
  6. Step 6: Final answer
    x = 771.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.