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Finding the Fourth Proportional to 586.04, 882.29 and 526.50

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Solution

The fourth proportional to 586.04, 882.29 and 526.50 is: 792.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.04 : 882.29 = 526.50 : x
  2. Step 2: Convert to fraction form
    586.04/882.29 = 526.50/x
  3. Step 3: Cross multiply
    586.04x = 882.29 × 526.50
  4. Step 4: Simplify right side
    586.04x = 464,527.00
  5. Step 5: Solve for x
    x = 464,527.00/586.04
  6. Step 6: Final answer
    x = 792.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.