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Finding the Fourth Proportional to 586.60, 877.82 and 510.39

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Solution

The fourth proportional to 586.60, 877.82 and 510.39 is: 763.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.60 : 877.82 = 510.39 : x
  2. Step 2: Convert to fraction form
    586.60/877.82 = 510.39/x
  3. Step 3: Cross multiply
    586.60x = 877.82 × 510.39
  4. Step 4: Simplify right side
    586.60x = 448,028.00
  5. Step 5: Solve for x
    x = 448,028.00/586.60
  6. Step 6: Final answer
    x = 763.77

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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.