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Finding the Fourth Proportional to 848.16, 1,271.76 and 590.88

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Solution

The fourth proportional to 848.16, 1,271.76 and 590.88 is: 885.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    848.16 : 1,271.76 = 590.88 : x
  2. Step 2: Convert to fraction form
    848.16/1,271.76 = 590.88/x
  3. Step 3: Cross multiply
    848.16x = 1,271.76 × 590.88
  4. Step 4: Simplify right side
    848.16x = 751,457.55
  5. Step 5: Solve for x
    x = 751,457.55/848.16
  6. Step 6: Final answer
    x = 885.99

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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.