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Finding the Fourth Proportional to 651.78, 898.64 and 526.98

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Solution

The fourth proportional to 651.78, 898.64 and 526.98 is: 726.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.78 : 898.64 = 526.98 : x
  2. Step 2: Convert to fraction form
    651.78/898.64 = 526.98/x
  3. Step 3: Cross multiply
    651.78x = 898.64 × 526.98
  4. Step 4: Simplify right side
    651.78x = 473,565.31
  5. Step 5: Solve for x
    x = 473,565.31/651.78
  6. Step 6: Final answer
    x = 726.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.