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Finding the Fourth Proportional to 972.16, 1,341.63 and 530.05

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Solution

The fourth proportional to 972.16, 1,341.63 and 530.05 is: 731.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.16 : 1,341.63 = 530.05 : x
  2. Step 2: Convert to fraction form
    972.16/1,341.63 = 530.05/x
  3. Step 3: Cross multiply
    972.16x = 1,341.63 × 530.05
  4. Step 4: Simplify right side
    972.16x = 711,130.98
  5. Step 5: Solve for x
    x = 711,130.98/972.16
  6. Step 6: Final answer
    x = 731.50

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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.