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Finding the Fourth Proportional to 1,030.04, 1,552.76 and 942.47

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Solution

The fourth proportional to 1,030.04, 1,552.76 and 942.47 is: 1,420.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.04 : 1,552.76 = 942.47 : x
  2. Step 2: Convert to fraction form
    1,030.04/1,552.76 = 942.47/x
  3. Step 3: Cross multiply
    1,030.04x = 1,552.76 × 942.47
  4. Step 4: Simplify right side
    1,030.04x = 1,463,433.60
  5. Step 5: Solve for x
    x = 1,463,433.60/1,030.04
  6. Step 6: Final answer
    x = 1,420.75

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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.