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Finding the Fourth Proportional to 788.83, 1,088.66 and 592.00

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Solution

The fourth proportional to 788.83, 1,088.66 and 592.00 is: 817.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.83 : 1,088.66 = 592.00 : x
  2. Step 2: Convert to fraction form
    788.83/1,088.66 = 592.00/x
  3. Step 3: Cross multiply
    788.83x = 1,088.66 × 592.00
  4. Step 4: Simplify right side
    788.83x = 644,485.48
  5. Step 5: Solve for x
    x = 644,485.48/788.83
  6. Step 6: Final answer
    x = 817.02

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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.