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Finding the Fourth Proportional to 707.86, 1,061.88 and 609.58

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Solution

The fourth proportional to 707.86, 1,061.88 and 609.58 is: 914.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.86 : 1,061.88 = 609.58 : x
  2. Step 2: Convert to fraction form
    707.86/1,061.88 = 609.58/x
  3. Step 3: Cross multiply
    707.86x = 1,061.88 × 609.58
  4. Step 4: Simplify right side
    707.86x = 647,300.81
  5. Step 5: Solve for x
    x = 647,300.81/707.86
  6. Step 6: Final answer
    x = 914.45

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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.