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Finding the Fourth Proportional to 970.04, 1,460.73 and 698.01

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Solution

The fourth proportional to 970.04, 1,460.73 and 698.01 is: 1,051.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.04 : 1,460.73 = 698.01 : x
  2. Step 2: Convert to fraction form
    970.04/1,460.73 = 698.01/x
  3. Step 3: Cross multiply
    970.04x = 1,460.73 × 698.01
  4. Step 4: Simplify right side
    970.04x = 1,019,604.15
  5. Step 5: Solve for x
    x = 1,019,604.15/970.04
  6. Step 6: Final answer
    x = 1,051.10

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.