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Finding the Fourth Proportional to 598.51, 896.95 and 527.23

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Solution

The fourth proportional to 598.51, 896.95 and 527.23 is: 790.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.51 : 896.95 = 527.23 : x
  2. Step 2: Convert to fraction form
    598.51/896.95 = 527.23/x
  3. Step 3: Cross multiply
    598.51x = 896.95 × 527.23
  4. Step 4: Simplify right side
    598.51x = 472,898.95
  5. Step 5: Solve for x
    x = 472,898.95/598.51
  6. Step 6: Final answer
    x = 790.13

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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.