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Finding the Fourth Proportional to 1,088.18, 1,501.65 and 590.81

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Solution

The fourth proportional to 1,088.18, 1,501.65 and 590.81 is: 815.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.18 : 1,501.65 = 590.81 : x
  2. Step 2: Convert to fraction form
    1,088.18/1,501.65 = 590.81/x
  3. Step 3: Cross multiply
    1,088.18x = 1,501.65 × 590.81
  4. Step 4: Simplify right side
    1,088.18x = 887,190.98
  5. Step 5: Solve for x
    x = 887,190.98/1,088.18
  6. Step 6: Final answer
    x = 815.30

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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.