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Finding the Fourth Proportional to 858.78, 1,184.51 and 526.77

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Solution

The fourth proportional to 858.78, 1,184.51 and 526.77 is: 726.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.78 : 1,184.51 = 526.77 : x
  2. Step 2: Convert to fraction form
    858.78/1,184.51 = 526.77/x
  3. Step 3: Cross multiply
    858.78x = 1,184.51 × 526.77
  4. Step 4: Simplify right side
    858.78x = 623,965.65
  5. Step 5: Solve for x
    x = 623,965.65/858.78
  6. Step 6: Final answer
    x = 726.57

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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.