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Finding the Fourth Proportional to 970.98, 1,457.37 and 604.68

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Solution

The fourth proportional to 970.98, 1,457.37 and 604.68 is: 907.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.98 : 1,457.37 = 604.68 : x
  2. Step 2: Convert to fraction form
    970.98/1,457.37 = 604.68/x
  3. Step 3: Cross multiply
    970.98x = 1,457.37 × 604.68
  4. Step 4: Simplify right side
    970.98x = 881,242.49
  5. Step 5: Solve for x
    x = 881,242.49/970.98
  6. Step 6: Final answer
    x = 907.58

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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.