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Finding the Fourth Proportional to 972.16, 1,341.54 and 530.06

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Solution

The fourth proportional to 972.16, 1,341.54 and 530.06 is: 731.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.16 : 1,341.54 = 530.06 : x
  2. Step 2: Convert to fraction form
    972.16/1,341.54 = 530.06/x
  3. Step 3: Cross multiply
    972.16x = 1,341.54 × 530.06
  4. Step 4: Simplify right side
    972.16x = 711,089.98
  5. Step 5: Solve for x
    x = 711,089.98/972.16
  6. Step 6: Final answer
    x = 731.46

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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.