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Finding the Fourth Proportional to 858.47, 1,184.13 and 526.77

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Solution

The fourth proportional to 858.47, 1,184.13 and 526.77 is: 726.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.47 : 1,184.13 = 526.77 : x
  2. Step 2: Convert to fraction form
    858.47/1,184.13 = 526.77/x
  3. Step 3: Cross multiply
    858.47x = 1,184.13 × 526.77
  4. Step 4: Simplify right side
    858.47x = 623,764.16
  5. Step 5: Solve for x
    x = 623,764.16/858.47
  6. Step 6: Final answer
    x = 726.60

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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.