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Finding the Fourth Proportional to 972.84, 1,458.89 and 417.50

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Solution

The fourth proportional to 972.84, 1,458.89 and 417.50 is: 626.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.84 : 1,458.89 = 417.50 : x
  2. Step 2: Convert to fraction form
    972.84/1,458.89 = 417.50/x
  3. Step 3: Cross multiply
    972.84x = 1,458.89 × 417.50
  4. Step 4: Simplify right side
    972.84x = 609,077.19
  5. Step 5: Solve for x
    x = 609,077.19/972.84
  6. Step 6: Final answer
    x = 626.08

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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.