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Finding the Fourth Proportional to 1,001.00, 1,501.64 and 590.33

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Solution

The fourth proportional to 1,001.00, 1,501.64 and 590.33 is: 885.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.00 : 1,501.64 = 590.33 : x
  2. Step 2: Convert to fraction form
    1,001.00/1,501.64 = 590.33/x
  3. Step 3: Cross multiply
    1,001.00x = 1,501.64 × 590.33
  4. Step 4: Simplify right side
    1,001.00x = 886,457.11
  5. Step 5: Solve for x
    x = 886,457.11/1,001.00
  6. Step 6: Final answer
    x = 885.58

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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.