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Finding the Fourth Proportional to 784.79, 1,178.04 and 590.35

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Solution

The fourth proportional to 784.79, 1,178.04 and 590.35 is: 886.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.79 : 1,178.04 = 590.35 : x
  2. Step 2: Convert to fraction form
    784.79/1,178.04 = 590.35/x
  3. Step 3: Cross multiply
    784.79x = 1,178.04 × 590.35
  4. Step 4: Simplify right side
    784.79x = 695,448.55
  5. Step 5: Solve for x
    x = 695,448.55/784.79
  6. Step 6: Final answer
    x = 886.16

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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.