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Finding the Fourth Proportional to 651.69, 973.04 and 590.13

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Solution

The fourth proportional to 651.69, 973.04 and 590.13 is: 881.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.69 : 973.04 = 590.13 : x
  2. Step 2: Convert to fraction form
    651.69/973.04 = 590.13/x
  3. Step 3: Cross multiply
    651.69x = 973.04 × 590.13
  4. Step 4: Simplify right side
    651.69x = 574,217.14
  5. Step 5: Solve for x
    x = 574,217.14/651.69
  6. Step 6: Final answer
    x = 881.12

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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.