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Finding the Fourth Proportional to 970.52, 1,457.04 and 604.16

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Solution

The fourth proportional to 970.52, 1,457.04 and 604.16 is: 907.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.52 : 1,457.04 = 604.16 : x
  2. Step 2: Convert to fraction form
    970.52/1,457.04 = 604.16/x
  3. Step 3: Cross multiply
    970.52x = 1,457.04 × 604.16
  4. Step 4: Simplify right side
    970.52x = 880,285.29
  5. Step 5: Solve for x
    x = 880,285.29/970.52
  6. Step 6: Final answer
    x = 907.02

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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.