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Finding the Fourth Proportional to 1,560.90, 2,341.68 and 465.35

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Solution

The fourth proportional to 1,560.90, 2,341.68 and 465.35 is: 698.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,560.90 : 2,341.68 = 465.35 : x
  2. Step 2: Convert to fraction form
    1,560.90/2,341.68 = 465.35/x
  3. Step 3: Cross multiply
    1,560.90x = 2,341.68 × 465.35
  4. Step 4: Simplify right side
    1,560.90x = 1,089,700.79
  5. Step 5: Solve for x
    x = 1,089,700.79/1,560.90
  6. Step 6: Final answer
    x = 698.12

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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.