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Finding the Fourth Proportional to 1,018.35, 1,526.58 and 470.97

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Solution

The fourth proportional to 1,018.35, 1,526.58 and 470.97 is: 706.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.35 : 1,526.58 = 470.97 : x
  2. Step 2: Convert to fraction form
    1,018.35/1,526.58 = 470.97/x
  3. Step 3: Cross multiply
    1,018.35x = 1,526.58 × 470.97
  4. Step 4: Simplify right side
    1,018.35x = 718,973.38
  5. Step 5: Solve for x
    x = 718,973.38/1,018.35
  6. Step 6: Final answer
    x = 706.02

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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.