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Finding the Fourth Proportional to 970.03, 1,454.74 and 604.93

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Solution

The fourth proportional to 970.03, 1,454.74 and 604.93 is: 907.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.03 : 1,454.74 = 604.93 : x
  2. Step 2: Convert to fraction form
    970.03/1,454.74 = 604.93/x
  3. Step 3: Cross multiply
    970.03x = 1,454.74 × 604.93
  4. Step 4: Simplify right side
    970.03x = 880,015.87
  5. Step 5: Solve for x
    x = 880,015.87/970.03
  6. Step 6: Final answer
    x = 907.20

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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.