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Finding the Fourth Proportional to 601.58, 903.66 and 524.35

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Solution

The fourth proportional to 601.58, 903.66 and 524.35 is: 787.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.58 : 903.66 = 524.35 : x
  2. Step 2: Convert to fraction form
    601.58/903.66 = 524.35/x
  3. Step 3: Cross multiply
    601.58x = 903.66 × 524.35
  4. Step 4: Simplify right side
    601.58x = 473,830.74
  5. Step 5: Solve for x
    x = 473,830.74/601.58
  6. Step 6: Final answer
    x = 787.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.