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Finding the Fourth Proportional to 1,018.59, 1,528.62 and 434.00

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Solution

The fourth proportional to 1,018.59, 1,528.62 and 434.00 is: 651.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.59 : 1,528.62 = 434.00 : x
  2. Step 2: Convert to fraction form
    1,018.59/1,528.62 = 434.00/x
  3. Step 3: Cross multiply
    1,018.59x = 1,528.62 × 434.00
  4. Step 4: Simplify right side
    1,018.59x = 663,423.27
  5. Step 5: Solve for x
    x = 663,423.27/1,018.59
  6. Step 6: Final answer
    x = 651.31

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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.