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Finding the Fourth Proportional to 972.12, 1,341.51 and 530.01

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Solution

The fourth proportional to 972.12, 1,341.51 and 530.01 is: 731.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.12 : 1,341.51 = 530.01 : x
  2. Step 2: Convert to fraction form
    972.12/1,341.51 = 530.01/x
  3. Step 3: Cross multiply
    972.12x = 1,341.51 × 530.01
  4. Step 4: Simplify right side
    972.12x = 711,011.02
  5. Step 5: Solve for x
    x = 711,011.02/972.12
  6. Step 6: Final answer
    x = 731.41

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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.