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Finding the Fourth Proportional to 1,018.46, 1,526.61 and 471.00

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Solution

The fourth proportional to 1,018.46, 1,526.61 and 471.00 is: 706.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.46 : 1,526.61 = 471.00 : x
  2. Step 2: Convert to fraction form
    1,018.46/1,526.61 = 471.00/x
  3. Step 3: Cross multiply
    1,018.46x = 1,526.61 × 471.00
  4. Step 4: Simplify right side
    1,018.46x = 719,029.35
  5. Step 5: Solve for x
    x = 719,029.35/1,018.46
  6. Step 6: Final answer
    x = 706.00

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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.