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Finding the Fourth Proportional to 1,312.02, 1,810.54 and 752.46

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Solution

The fourth proportional to 1,312.02, 1,810.54 and 752.46 is: 1,038.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,312.02 : 1,810.54 = 752.46 : x
  2. Step 2: Convert to fraction form
    1,312.02/1,810.54 = 752.46/x
  3. Step 3: Cross multiply
    1,312.02x = 1,810.54 × 752.46
  4. Step 4: Simplify right side
    1,312.02x = 1,362,352.24
  5. Step 5: Solve for x
    x = 1,362,352.24/1,312.02
  6. Step 6: Final answer
    x = 1,038.36

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1.5x scale

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.