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Finding the Fourth Proportional to 707.85, 1,063.29 and 434.10

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Solution

The fourth proportional to 707.85, 1,063.29 and 434.10 is: 652.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.85 : 1,063.29 = 434.10 : x
  2. Step 2: Convert to fraction form
    707.85/1,063.29 = 434.10/x
  3. Step 3: Cross multiply
    707.85x = 1,063.29 × 434.10
  4. Step 4: Simplify right side
    707.85x = 461,574.19
  5. Step 5: Solve for x
    x = 461,574.19/707.85
  6. Step 6: Final answer
    x = 652.08

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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.