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Finding the Fourth Proportional to 707.40, 977.16 and 578.04

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Solution

The fourth proportional to 707.40, 977.16 and 578.04 is: 798.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.40 : 977.16 = 578.04 : x
  2. Step 2: Convert to fraction form
    707.40/977.16 = 578.04/x
  3. Step 3: Cross multiply
    707.40x = 977.16 × 578.04
  4. Step 4: Simplify right side
    707.40x = 564,837.57
  5. Step 5: Solve for x
    x = 564,837.57/707.40
  6. Step 6: Final answer
    x = 798.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.