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Finding the Fourth Proportional to 788.96, 1,088.96 and 509.51

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Solution

The fourth proportional to 788.96, 1,088.96 and 509.51 is: 703.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.96 : 1,088.96 = 509.51 : x
  2. Step 2: Convert to fraction form
    788.96/1,088.96 = 509.51/x
  3. Step 3: Cross multiply
    788.96x = 1,088.96 × 509.51
  4. Step 4: Simplify right side
    788.96x = 554,828.02
  5. Step 5: Solve for x
    x = 554,828.02/788.96
  6. Step 6: Final answer
    x = 703.24

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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.