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Finding the Fourth Proportional to 704.04, 1,050.93 and 646.26

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Solution

The fourth proportional to 704.04, 1,050.93 and 646.26 is: 964.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.04 : 1,050.93 = 646.26 : x
  2. Step 2: Convert to fraction form
    704.04/1,050.93 = 646.26/x
  3. Step 3: Cross multiply
    704.04x = 1,050.93 × 646.26
  4. Step 4: Simplify right side
    704.04x = 679,174.02
  5. Step 5: Solve for x
    x = 679,174.02/704.04
  6. Step 6: Final answer
    x = 964.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.