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Finding the Fourth Proportional to 740.02, 1,021.16 and 429.46

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Solution

The fourth proportional to 740.02, 1,021.16 and 429.46 is: 592.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.02 : 1,021.16 = 429.46 : x
  2. Step 2: Convert to fraction form
    740.02/1,021.16 = 429.46/x
  3. Step 3: Cross multiply
    740.02x = 1,021.16 × 429.46
  4. Step 4: Simplify right side
    740.02x = 438,547.37
  5. Step 5: Solve for x
    x = 438,547.37/740.02
  6. Step 6: Final answer
    x = 592.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.