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Finding the Fourth Proportional to 702.08, 1,051.68 and 564.38

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Solution

The fourth proportional to 702.08, 1,051.68 and 564.38 is: 845.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.08 : 1,051.68 = 564.38 : x
  2. Step 2: Convert to fraction form
    702.08/1,051.68 = 564.38/x
  3. Step 3: Cross multiply
    702.08x = 1,051.68 × 564.38
  4. Step 4: Simplify right side
    702.08x = 593,547.16
  5. Step 5: Solve for x
    x = 593,547.16/702.08
  6. Step 6: Final answer
    x = 845.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.